24-25 PCSD 8.4 Study Guide Review

The solution to a system of equations is (2, -7). Choose two equations that might make up the system.

• y = 4x - 15

• y = -3x + 13

• y = -5x + 17

• y = -6x + 5

• y = 4x - 1

Solve the system of equations: y = -3x + 2 y = 6x - 7

Rewrite each expression as an equivalent expression with fewer terms: 9 - 4(5x - 6)

Some students are trying to write an expression with fewer terms that is equivalent to 8-3(4 - 9x). Noah says, “I worked the problem left to right and ended up with 20 - 40x.” Lin says, “I started inside the parentheses and ended up with 23x” Jada says, "I used the distributive property and ended up with 27x - 4.” Andre says, “I also used the distributive property, but ended up with -4 - 27x.” Do you agree with any of them? Explain your reasoning.

Solve each equation. 1/3 s = 7 -20r = 90 6v = -9 5x = -1/5

Solve the equation (-12x + 14)/4 = 4x - 7

A sign on the road says, “Speed limit, 60 miles per hour.” Let s be the speed of a car. Write an inequality that matches the information on the sign. Could 60 be a value of s? Explain your reasoning.

There is a closed carton of eggs in Mai’s refrigerator. The carton contains e eggs and it can hold 12 eggs. a. What does the inequality e < 12 mean in this context? b. What does e > 0 mean in this context? c. What are some possible values of e that will make both e < 12 and e > 12 true?

Solve the system of Equations. 3x + 4y = 36 y = -1/2 x + 8

Select all the systems of equations that have exactly one solution. Explain your reasoning.

• y = 3x + 1, y = -3x + 7

• y = 3x + 1, y = x + 1

• y = 3x + 1, y = 3x + 7

• x + y = 10, 2x + 2y = 20

• x + y = 10, x + y = 12