Houston Independent School District



HW 3.4: Linear Equations and SOE Word Problems Review (Assigned 1/11 or 1/12, due 1/17 or 1/18)

1. Solve the following linear system: [pic]

2. Solve and graph the following inequality: [pic]

3. Write an equation in slope-intercept form for the line that passes through (-4, 3) and (0, -3).

4. Graph [pic] .

5. Solve the following proportion algebraically: [pic]

6. The two lines y = 2x – 13 and 3x + y = 92 intersect. What is the value of x at the point of intersection?

7. The sum of four consecutive odd integers is 112. What is the greatest of the four integers?

8. The fraction [pic] does not change its value when 3 is added to both its numerator and its denominator. What is the value of x?

9. Alistair Inc. shipped 32 packs of batteries to a retail store. Regular packs contain four batteries, and super packs contain six batteries. A total of 166 batteries were shipped. How many regular packs were sent?

10. Children’s tickets to a local play cost $1.50 less than adult tickets. At one performance 325 children tickets and 175 adult tickets were sold for a total of $3512.50. How many dollars did an adult ticket cost?

11. CHALLENGE: Kevin’s order of two hamburgers and three sodas costs $5.13 at the Burger Spot. Alana orders four cheeseburgers and six sodas. Cheeseburgers cost 15 cents more than hamburgers. How many dollars does Alana’s order cost? Express your answer as a decimal to the nearest cent.

12. CHALLENGE: Solve the following problem by using a system of three equations in three variables: Keowee, Grace, and Emma together have $46. Keowee has half as much as Grace, and Emma has $2 less than Grace. How much does each have?

13. CHALLENGE: Solve by using a system of two equations in two variables: Nicole is 5 years older than Pierre. Last year she was twice as old as he was. How old is each now?

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