Algebra Review Practice Test - Sioux City, Iowa

[Pages:18]Algebra Review

1. Evaluate the expression 3a + 2b when a = -3 and b = -4. 2

A) - 1 2

B) - 17 2

C) 1 2

D) 17 2

2. Simplify:

3+5?6-4

A) 17 B) 29 C) 16 D) 30

3. Simplify: A) 40 B) 18 C) 34 D) 12

6 - 2 ? 2 + 25

4. Evaluate: 3x - y if x = 2, y = 8, and z = ?2. 6z - x

A) 1 7

B) - 1 7

C) 1 5

D) - 1 5

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5. Simplify:

14 - 30

2(- 4)

A) ?2

B) 2

C) 11 2

D) - 11 2

6. Use the distributive property to simplify.

A) - 4x + 30 B) - 4x - 30 C) - 2x + 30 D) - 2x - 30

- 3( x - 10) + x

7. Simplify: 8y ? 2 ? 3(y ? 4) A) 11y ? 6 B) 5y ? 6 C) 5y ? 14 D) 5y + 10

8. Write the fraction in lowest terms:

3b 2 A)

2a 3 2b 3 B) 3a 2 C) 3a 2 2b 3 D) 2a 2 3b 3

36a 3bc2 24ab 4c 2

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9. Solve for x : 3(x + 1) = -6

A) - 2 B) - 3 C) 1

7 D)

3

10. Add the polynomials: 2a + 3b + 5a - 7b

A) 7a - 4b B) 7a + 4b C) 3ab D) 7a -10b

11. Subtract the polynomials:

(9x 2 - 4x +11)- (3x 2 - 2x + 2)

A) 6x 2 - 2x + 9 B) 6x2 - 2x + 13 C) 6x 2 - 6x + 9 D) 6x 2 - 6x +13

12. (x + 2)(x 2 - 2x + 4) =

A) x 3 + 8 B) x 3 + 4x 2 - 8x + 8 C) x 3 - 4x 2 + 8x + 8 D) x 3 + 8x + 8

13. The difference of twice a number and six is four times the number. Find an equation to solve for the number. A) 2x ? 6 = 4 B) 2x ? 6 = 4x C) 2x + 6 = 4x D) 2x ? 6 = x + 4

14. Expand: (2x - 3)2

A) 4x 2 - 9 B) 4x 2 + 9 C) 2x 2 -12x + 9 D) 4x 2 -12x + 9

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15. Which of the following numbers is the smallest? A) - 3 4 B) - 3 2 C) -1 D) - 2 3

16. Which of the following is the largest? A) 5 - 2 B) 2 - 5 C) - 2 - 5 D) 5 - 2 + 2 - 5

17. Solve: 3(x - 5) x - 8

A) x 7 2

B) x 2 7

C) x -1 D) x -1

18. A flower-bed is in the shape of a triangle with one side twice the length of the shortest side and the third side 15 feet longer than the shortest side. If the perimeter is 100 feet and if x represents the length of the shortest side, find an equation to solve for the lengths of the three sides. A) x + 2x + x + 15 = 100 B) x + 15 = 2x C) x + 15 + 2x = 100 D) x + 2x = x + 115

19. If John has $50 more money than Mary and you choose to represent John's amount of money as X how should you represent Mary's amount of money in terms of X? A) X + $50 B) X - $50 C) $50 ? X D) $50?X

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( ) 20. Multiply: 2x 3x 2 - 5x - 3

A) 6x 3 - 5x2 - 6x B) 6x3 - 5x - 3 C) 6x3 -10x 2 - 3x D) 6x3 -10x 2 - 6x

21. Divide:

14m2 - 28m8 + 7m 7m

A) 2m - 28m8 + 7m B) 2m - 4m7 +1 C) 2m - 4m 7 D) 2m2 - 4m8 + m

22. Factor completely: One factor is:

A) 4x 4 B) 3x +1 C) x -1 D) 3x 2 - 5x +1

12x4 - 20x 3 + 4x 2

23. Factor completely: One factor is:

A) 6 x B) x - 6 C) x -12 D) x + 3

x 2 -12x + 36

24. Factor completely:

One factor is:

A) 7 x B) x +1 C) x -3 D) x + 3

7x 2 +14x - 21

25. Solve: x 2 - 3x -10 = 0 One solution is: A) x = 10 B) x = 1 C) x = ?2 D) x = 2

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26. Solve: 2x 2 - 5x = 0 The solutions are: A) x = 0 B) x = 0, x = 5 C) x = 0, x = ?5 D) x = 0, x = 5 2

27. Simplify and reduce:

A) x - 2 6

B) 3x - 2 3

C) x + 2 3

D) x - 2 3

3x2 - 12 9x +18

28. Given the equation ?2x + 3y = 12, find the missing value in the ordered pair (?3,___) A) ?6 B) ?2 C) 6 D) 2

29. What are the coordinates of the x-intercept in the graph below? Y

2

1

-2 -1 0 1 2 3

X

A) (-1,2) B) (0,-2) C) (- 2,0) D) (0,1)

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30. Graph the line 3x + y = 6. A)

B)

C)

D)

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31. Solve and simplify if possible: x 2 - 9 = x-3 x-3

A) x - 3 -3 x

B) -1 C) x + 3 D) x - 3

x+2y = 7 32. Solve the following system of equations for the y-value:

2x + 2 y = 13 A) y = 1

2 B) y = 6 C) y = 5 D) y = 13

4

33.

5 6a

-

2 3a 2

=

3 A)

6a 2 B) 3

3a 1

C) 6a 2 5a - 4

D) 6a 2

34. 9b 2 - 3b = 3b

A) 9b2 -1 B) 3b -1 C) b -1

D) 9b

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