Algebra 1 Quarter 1 Exam - Morgan Park High School
Algebra 1 Quarter 1 Review
Answer all questions completely. Show your work.
Find the mean. Round to the nearest tenth if necessary.
1. {10, 11, 22, 23, 28, 28, 30}
2. {13, 15, 15, 22, 22, 25, 29}
Find the median. Round to the nearest tenth if necessary.
3. {10, 10, 17, 20, 20, 21, 23, 26, 27}
4. {11, 12, 12, 15, 19, 19, 20, 20, 23, 30}
Evaluate the expression.
5. 2 + 3 (3)2 (7) + 4
6. 48 – 2(7 – 4)
7. 37 – 6 ÷ 3(4) + 1
Evaluate the expression. Show each step.
8. 5 + 5(22 – 42) + 2
9. 1 + 3(11 – ( -2)2) + 5
10. Evaluate the following expression if a = -8, b = -5, and c = 3.
3b - ac – 2a
11. Evaluate the following expression if a = 6, b = 8, and c = 4.
3c + ac – 2b
12. Evaluate the following expression if a = 7, b = 5, and c = 10.
3c + bc – 2a
13. Evaluate the following expression if a = 8, b = 5, and c = 8.
2c + bc – 3a
14. Evaluate the following expression if x = -12, y = 8, and z = 6.
[pic]
15. Evaluate the following expression if x = 10, y = 4, and z = 10.
[pic]
16. Evaluate the following expression if x = 12, y = 8, and z = 16.
[pic]
Write a verbal expression for the algebraic expression.
17. 11k
18. 3x2 + 1
Translate the sentence into an equation.
19. Three times the number x increased by 14 is 92.
| | | | |
| | | | |
20. Five times the sum of a and b is equal to four times c.
Simplify the expression.
21. 7x + 6(4x + 1)
22. 3(5x + 2y) + 3(2x + 2y)
Simplify the expression. If not possible, write simplified.
23. 3z2 + 5z + 2z2 + z2
24. 7(5x + 15y – 4y)
Solve the equation. Then check your solution.
25. x – 7 = 3
26. x + 23 = 9
27. [pic]
28. 6c = 126
Find the probability.
29. A marble is randomly selected from a bag containing 10 yellow marbles, 11 red marbles, and 6 white marbles. Find P(white ball). Round to the nearest hundredth if necessary.
30. A coin is randomly selected from a jar containing 13 nickels, 9 dimes, and 3 quarters. Find P(quarter). Round to the nearest percent if necessary.
31. A ball is randomly selected from a bag containing 7 yellow balls, 8 red balls, and 18 white balls. Find P(red ball). Round to the nearest hundredth if necessary.
32. A coin is randomly selected from a jar containing 21 nickels, 19 dimes, and 10 quarters. Find P(dime). Round to the nearest percent if necessary.
Simplify.
33. [pic]
34. [pic]
35. [pic]
36. [pic]
Algebra 1 Quarter 1 Exam
Answer Section
MULTIPLE CHOICE
1. ANS: B PTS: 1 DIF: Basic REF: Lesson 0-12
OBJ: 0-12.1 Calculate the measures of central tendency of a set of data.
STA: IL I 10B.2c TOP: Mean, median, mode, range and quartiles.
KEY: mean
2. ANS: C PTS: 1 DIF: Basic REF: Lesson 0-12
OBJ: 0-12.1 Calculate the measures of central tendency of a set of data.
STA: IL I 10B.2c TOP: Mean, median, mode, range and quartiles.
KEY: mean
3. ANS: B PTS: 1 DIF: Basic REF: Lesson 0-12
OBJ: 0-12.1 Calculate the measures of central tendency of a set of data.
STA: IL I 10B.2c TOP: Mean, median, mode, range and quartiles.
KEY: median
4. ANS: A PTS: 1 DIF: Basic REF: Lesson 0-12
OBJ: 0-12.1 Calculate the measures of central tendency of a set of data.
STA: IL I 10B.2c TOP: Mean, median, mode, range and quartiles.
KEY: median
5. ANS: A
Perform any operations within grouping symbols first. Then evaluate powers followed by multiplication and division from left to right, then addition and subtraction from left to right.
| |Feedback |
|A |Correct! |
|B |Did you do addition before multiplication? |
|C |Did you do addition before multiplication? |
|D |Be careful with the order of operations. |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.1 Evaluate numerical expressions by using the order of operations.
TOP: Evaluate numerical expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
6. ANS: B
Perform any operations within grouping symbols first. Then evaluate powers followed by multiplication and division from left to right, then addition and subtraction from left to right.
| |Feedback |
|A |Did you do multiplication before any addition or subtraction? |
|B |Correct! |
|C |Did you perform operations within parentheses first? |
|D |Be careful with addition and subtraction. |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.1 Evaluate numerical expressions by using the order of operations.
TOP: Evaluate numerical expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
7. ANS: C
Perform any operations within grouping symbols first. Then evaluate powers followed by multiplication and division from left to right, then addition and subtraction from left to right.
| |Feedback |
|A |Did you subtract before dividing? |
|B |Did multiply before dividing? |
|C |Correct! |
|D |Did you multiply and subtract before dividing? |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.1 Evaluate numerical expressions by using the order of operations.
TOP: Evaluate numerical expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
8. ANS: D
Use identity and equality properties along with order of operations to evaluate the expression.
| |Feedback |
|A |Did you forget to do the power? |
|B |Did you do addition before parentheses? |
|C |Be careful with order of operations. |
|D |Correct! |
PTS: 1 DIF: Average REF: Lesson 1-3
OBJ: 1-3.2 Use the properties of identity and equality. NAT: NA 1 | NA 6 | NA 8 | NA 10 | NA 2
STA: IL I 8C | IL I 6B TOP: Use the properties of identity and equality
KEY: Identity Property | Equality Property
9. ANS: D
Use identity and equality properties along with order of operations to evaluate the expression.
| |Feedback |
|A |Did you do addition before parentheses? |
|B |Be careful with the power and your signs. |
|C |Be careful with order of operations. |
|D |Correct! |
PTS: 1 DIF: Average REF: Lesson 1-3
OBJ: 1-3.2 Use the properties of identity and equality. NAT: NA 1 | NA 6 | NA 8 | NA 10 | NA 2
STA: IL I 8C | IL I 6B TOP: Use the properties of identity and equality
KEY: Identity Property | Equality Property
10. ANS: B
Replace the variables with their values. Then find the value of the numerical expression using the order of operations.
| |Feedback |
|A |Did you subtract before multiplying? |
|B |Correct! |
|C |Be careful with the signs. |
|D |Did you add before multiplying? |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.2 Evaluate algebraic expressions by using the order of operations.
NAT: NA 1 | NA 6 | NA 8 | NA 9 | NA 2 STA: IL I 6B.5 | IL I 6C.1 | IL I 6B
TOP: Evaluate algebraic expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
11. ANS: B
Replace the variables with their values. Then find the value of the numerical expression using the order of operations.
| |Feedback |
|A |Did you add before multiplying? |
|B |Correct! |
|C |Be careful with the order of operations. |
|D |Did you replace the variables carefully? |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.2 Evaluate algebraic expressions by using the order of operations.
NAT: NA 1 | NA 6 | NA 8 | NA 9 | NA 2 STA: IL I 6B.5 | IL I 6C.1 | IL I 6B
TOP: Evaluate algebraic expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
12. ANS: D
Replace the variables with their values. Then find the value of the numerical expression using the order of operations.
| |Feedback |
|A |Did you replace the variables carefully? |
|B |Be careful with the order of operations. |
|C |Did you add before multiplying? |
|D |Correct! |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.2 Evaluate algebraic expressions by using the order of operations.
NAT: NA 1 | NA 6 | NA 8 | NA 9 | NA 2 STA: IL I 6B.5 | IL I 6C.1 | IL I 6B
TOP: Evaluate algebraic expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
13. ANS: D
Replace the variables with their values. Then find the value of the numerical expression using the order of operations.
| |Feedback |
|A |Did you add before multiplying? |
|B |Be careful with the order of operations. |
|C |Did you replace the variables carefully? |
|D |Correct! |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.2 Evaluate algebraic expressions by using the order of operations.
NAT: NA 1 | NA 6 | NA 8 | NA 9 | NA 2 STA: IL I 6B.5 | IL I 6C.1 | IL I 6B
TOP: Evaluate algebraic expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
14. ANS: C
Replace the variables with their values. Then find the value of the numerical expression using the order of operations.
| |Feedback |
|A |Be careful of the power. |
|B |Be careful of the power and subtraction. |
|C |Correct! |
|D |Be careful of the power, signs, and dividing. |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.2 Evaluate algebraic expressions by using the order of operations.
NAT: NA 1 | NA 6 | NA 8 | NA 9 | NA 2 STA: IL I 6B.5 | IL I 6C.1 | IL I 6B
TOP: Evaluate algebraic expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
15. ANS: C
Replace the variables with their values. Then find the value of the numerical expression using the order of operations.
| |Feedback |
|A |Did you square the x value? |
|B |Did you do subtraction before multiplying? |
|C |Correct! |
|D |Did you forget to divide? |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.2 Evaluate algebraic expressions by using the order of operations.
NAT: NA 1 | NA 6 | NA 8 | NA 9 | NA 2 STA: IL I 6B.5 | IL I 6C.1 | IL I 6B
TOP: Evaluate algebraic expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
16. ANS: B
Replace the variables with their values. Then find the value of the numerical expression using the order of operations.
| |Feedback |
|A |Did you square the x value? |
|B |Correct! |
|C |Did you do subtraction before multiplying? |
|D |Did you forget to divide? |
PTS: 1 DIF: Average REF: Lesson 1-2
OBJ: 1-2.2 Evaluate algebraic expressions by using the order of operations.
NAT: NA 1 | NA 6 | NA 8 | NA 9 | NA 2 STA: IL I 6B.5 | IL I 6C.1 | IL I 6B
TOP: Evaluate algebraic expressions by using the order of operations
KEY: Evaluate Expressions | Order of Operations
17. ANS: C
Translate the algebraic expression into a verbal expression using key operation words.
| |Feedback |
|A |Is the sum indicated by the algebraic expression? |
|B |What is the symbol for difference? |
|C |Correct! |
|D |Is division a part of the algebraic expression? |
PTS: 1 DIF: Basic REF: Lesson 1-1
OBJ: 1-1.2 Write verbal expressions for mathematical expressions.
NAT: NA 1 | NA 3 | NA 9 | NA 10 | NA 2 STA: IL I 8A.9 | IL I 8A
TOP: Write verbal expressions for mathematical expressions KEY: Write Expressions | Verbal Expressions
18. ANS: D
Translate the algebraic expression into a verbal expression using key operation words.
| |Feedback |
|A |Is 2 subtracted? |
|B |Is 5 added to the square of x? |
|C |Is 5x squared multiplied by 2? |
|D |Correct! |
PTS: 1 DIF: Basic REF: Lesson 1-1
OBJ: 1-1.2 Write verbal expressions for mathematical expressions.
NAT: NA 1 | NA 3 | NA 9 | NA 10 | NA 2 STA: IL I 8A.9 | IL I 8A
TOP: Write verbal expressions for mathematical expressions KEY: Write Expressions | Verbal Expressions
19. ANS: A
Translate verbal sentences into equations by using key words and phrases you have learned to replace words with symbols.
| |Feedback |
|A |Correct! |
|B |What does increased by translate to in an equation? |
|C |Does increased by indicate multiplication? |
|D |Should you have divided? |
PTS: 1 DIF: Basic REF: Lesson 2-1
OBJ: 2-1.1 Translate verbal sentences into equations. NAT: NA 6
STA: IL I 6B | IL I 7C | IL I 8C TOP: Translate verbal sentences into equations
KEY: Verbal Sentences | Equations
20. ANS: A
Translate verbal sentences into equations by using key words and phrases you have learned to replace words with symbols.
| |Feedback |
|A |Correct! |
|B |Do you need parentheses? |
|C |How do you translate sum in an equation? |
|D |Should there be multiplication on the left side of the equation? |
PTS: 1 DIF: Basic REF: Lesson 2-1
OBJ: 2-1.1 Translate verbal sentences into equations. NAT: NA 6
STA: IL I 6B | IL I 7C | IL I 8C TOP: Translate verbal sentences into equations
KEY: Verbal Sentences | Equations
21. ANS: C
Use the properties studied so far to simplify the expression.
| |Feedback |
|A |Did you correctly use the Distributive Property? |
|B |Did you use the Distributive Property? |
|C |Correct! |
|D |Did you correctly use the properties? |
PTS: 1 DIF: Average REF: Lesson 1-3
OBJ: 1-3.3 Use the Commutative and Associative Properties to simplify algebraic expressions.
NAT: NA 1 | NA 8 | NA 9 | NA 10 | NA 2 STA: IL I 8A.6 | IL I 8A
TOP: Use the Commutative and Associative Properties to simplify algebraic expressions
KEY: Commutative Property | Associative Property
22. ANS: A
Use the properties studied so far to simplify the expression.
| |Feedback |
|A |Correct! |
|B |Did you use the Distributive Property carefully on both products? |
|C |Did you correctly use the Distributive Property on both products? |
|D |Did you switch x and y? |
PTS: 1 DIF: Average REF: Lesson 1-3
OBJ: 1-3.3 Use the Commutative and Associative Properties to simplify algebraic expressions.
NAT: NA 1 | NA 8 | NA 9 | NA 10 | NA 2 STA: IL I 8A.6 | IL I 8A
TOP: Use the Commutative and Associative Properties to simplify algebraic expressions
KEY: Commutative Property | Associative Property
23. ANS: C
An expression is in simplest form when it is replaced by an equivalent expression having no like terms or parentheses.
| |Feedback |
|A |Did you add exponents? |
|B |Did you add coefficients correctly? |
|C |Correct? |
|D |Are the first three terms like terms? |
PTS: 1 DIF: Basic REF: Lesson 1-4
OBJ: 1-4.2 Use the Distributive Property to simplify algebraic expressions.
NAT: NA 1 | NA 8 | NA 9 | NA 10 | NA 2 STA: IL I 6B.1 | IL I 6B.5 | IL I 6B
TOP: Use the Distributive Property to simplify expressions
KEY: Distributive Property | Simplify Expressions
24. ANS: C
An expression is in simplest form when it is replaced by an equivalent expression having no like terms or parentheses.
| |Feedback |
|A |Are there no like terms or parentheses? |
|B |Did you add the last two terms? |
|C |Correct! |
|D |Did you add unlike terms? |
PTS: 1 DIF: Average REF: Lesson 1-4
OBJ: 1-4.2 Use the Distributive Property to simplify algebraic expressions.
NAT: NA 1 | NA 8 | NA 9 | NA 10 | NA 2 STA: IL I 6B.1 | IL I 6B.5 | IL I 6B
TOP: Use the Distributive Property to simplify expressions
KEY: Distributive Property | Simplify Expressions
25. ANS: B
To solve an equation means to find all the values of the variable that make the equation a true statement. One way to do this is to isolate the variable on one side of the equation. You can sometimes do this by adding the same number to both sides of the equation.
| |Feedback |
|A |Be careful with sign rules. |
|B |Correct! |
|C |Did you perform the addition correctly? |
|D |Did you subtract a number from both sides? |
PTS: 1 DIF: Basic REF: Lesson 2-2
OBJ: 2-2.1 Solve equations with integers by using addition. NAT: NA 1 | NA 8 | NA 9 | NA 10 | NA 2
STA: IL I 8A.2 | IL I 8A TOP: Solve equations with integers by using addition
KEY: Solve Equations | Addition | Integers
26. ANS: B
To solve an equation means to find all the values of the variable that make the equation a true statement. One way to do this is to isolate the variable on one side of the equation. You can sometimes do this by subtracting the same number from both sides of the equation.
| |Feedback |
|A |Be careful with sign rules. |
|B |Correct! |
|C |Did you subtract a number from both sides? |
|D |Did you perform the subtraction correctly? |
PTS: 1 DIF: Basic REF: Lesson 2-2
OBJ: 2-2.4 Solve equations with integers by using subtraction. NAT: NA 1 | NA 8 | NA 9 | NA 10 | NA 2
STA: IL I 8D.1 | IL I 8D TOP: Solve equations with integers by using subtraction
KEY: Solve Equations | Subtraction | Integers
27. ANS: B
If an equation is true and each side is multiplied by the same number, the resulting equation is true.
| |Feedback |
|A |Were you careful with sign rules? |
|B |Correct! |
|C |Did you use the Multiplication Property of Equality? |
|D |How do you undo division? |
PTS: 1 DIF: Basic REF: Lesson 2-2
OBJ: 2-2.7 Solve equations with integers by using multiplication.
NAT: NA 1 | NA 8 | NA 9 | NA 10 | NA 2 STA: IL I 8D.1 | IL I 8D
TOP: Solve equations with integers by using multiplication
KEY: Solve Equations | Multiplication | Integers
28. ANS: A
If each side of an equation is divided by the same nonzero number, the resulting equation is true.
| |Feedback |
|A |Correct! |
|B |Did you divide both sides by the same number? |
|C |Be careful with sign rules. |
|D |Did you divide correctly? |
PTS: 1 DIF: Basic REF: Lesson 2-2
OBJ: 2-2.8 Solve equations with integers by using division. NAT: NA 1 | NA 8 | NA 9 | NA 10 | NA 2
STA: IL I 8D.1 | IL I 8D TOP: Solve equations with integers by using division
KEY: Solve Equations | Division | Integers
29. ANS: C PTS: 1 DIF: Basic REF: Lesson 0-11
OBJ: 0-11.1 Find the probability of simple events. STA: IL I 10C.4a
TOP: Simple probability and odds. KEY: probability
30. ANS: D PTS: 1 DIF: Basic REF: Lesson 0-11
OBJ: 0-11.1 Find the probability of simple events. STA: IL I 10C.4a
TOP: Simple probability and odds. KEY: probability
31. ANS: D PTS: 1 DIF: Basic REF: Lesson 0-11
OBJ: 0-11.1 Find the probability of simple events. STA: IL I 10C.4a
TOP: Simple probability and odds. KEY: probability
32. ANS: C PTS: 1 DIF: Basic REF: Lesson 0-11
OBJ: 0-11.1 Find the probability of simple events. STA: IL I 10C.4a
TOP: Simple probability and odds. KEY: probability
33. ANS: D PTS: 1 DIF: Basic REF: Lesson 0-9
OBJ: 0-9.1 Evaluate square roots and simplify radical expressions.
NAT: NCTM NO.3 TOP: Square roots and simplifying radicals.
KEY: Product Property | Quotient Property
34. ANS: A PTS: 1 DIF: Basic REF: Lesson 0-9
OBJ: 0-9.1 Evaluate square roots and simplify radical expressions.
NAT: NCTM NO.3 TOP: Square roots and simplifying radicals.
KEY: Product Property | Quotient Property
35. ANS: D PTS: 1 DIF: Basic REF: Lesson 0-9
OBJ: 0-9.1 Evaluate square roots and simplify radical expressions.
NAT: NCTM NO.3 TOP: Square roots and simplifying radicals.
KEY: Product Property | Quotient Property
36. ANS: B PTS: 1 DIF: Basic REF: Lesson 0-9
OBJ: 0-9.1 Evaluate square roots and simplify radical expressions.
NAT: NCTM NO.3 TOP: Square roots and simplifying radicals.
KEY: Product Property | Quotient Property
-----------------------
CR: PSDA 13-15 Calculate the average of a list of positive numbers
CR: PSDA 13-15 Calculate the average of a list of positive numbers
CR: EEI 16-19 Substitute whole numbers for unknown quantities to evaluate expressions.
CR: EEI 20-23 Perform straightforward word to symbol translations.
CR: EEI 16-19 Combine like terms
CR: EEI 16-19 Solve one step equations having integer or decimal answers.
MNOPR‰ŠŒ?’íÞϽ®?ŒnbSD8b,bhCR: PSDA 24-27 Compute straightforward probabilities for common situations.
CR: NCP 24-27 Work with squares and square roots of numbers.
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