# 11/4- Equations and Inequalities Test Review

21 questions

# 11/4- Equations and Inequalities Test Review

##### Solve each equation.

1) $7y+5=3y-30$

2) $-\frac{6}{5}=\frac{1}{3}y-1$

3) $\frac{1}{5}(x-8)=x-16$

4) $2x+4=5(x+1)-3(x+2)$

5) $2=\frac{-2y-(-6)}{13}$

6) $3x-2(x-5)=10+x$

7) $\frac{x-3}{3}=\frac{x+4}{4}$

8) $\frac{3}{t+7}=\frac{5}{-8}$

##### Solve for the indicated variable.

9) $p = 2 l + 2 w \quad \text { Solve for } w$

10) $v = \frac { 1 } { 3 } \pi r ^ { 2 } h \quad \text { Solve for } h$

##### Rewrite the equation solving for y.

11) 6$x$-3$y$=-12

12) 2(3$x$+$y$)=-24

##### Solve Each Inequality

13) $8x-14>42$

14) $2(k+4)-3k\leq14$

15) $-6x-9<21$

16) $3(w-3)<9+3w$

##### Problem Solving

17) **Part A: **A large cheese pizza costs $7.00. Each additional toping for the pizza costs $2.00. If the total bill for th3e pizza Sally ordered was $13.00, how many toppings did she order? Write an EQUATION to represent the situation.

18) **Part B:** Solve the equation that you wrote in #17.

19) **Part A:** Tracey is looking at two different travel agencies to plan her vacation. ABC Travel offers a plane ticket for $300 and a rental car for $40 per day. M & N Travel offers a plane ticket for $350 and a rental car for $30 per day.

Write an EQUATION for this situation.

20) **Part B:** What is the minimum number of days that Tracey's vacation should be for M & N Travel to have the better deal?

21) **Part A:** An amusement park charges $10 for admission and $2 for each ride. You have $50 to spend. Write an INEQUALITY to represent the maximum number of rides you can go on.