# 11/4- Equations and Inequalities Test Review

ID: munod-gukiv
Nicole Sherrick, BP BY-NC
Subject: Algebra

21 questions

# 11/4- Equations and Inequalities Test Review

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##### 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.