MAT 111 TEST 2 REVIEW (CH. 3)
1.
Solve the linear equation and simplify your answer. Write your solution as a simplified fraction or decimal
rounded to two places.
4𝑧 + 29 − 2𝑧 = 25
2.
Consider the following inequality:
2𝑧 − 2 ³ 1
Step 1. Solve the linear inequality above for the given variable. Simplify your solution and use algebraic
notation.
Step 2. Graph the solution to the given inequality.
3.
A student missed 5 problems on a Biology test and received a grade of 44%. If all the problems were of
equal value, how many problems were on the test? Round off your answer to the nearest integer.
4.
Solve the following formula for the indicated variable.
𝐶 = 2 ä 𝑟; solve for 𝑟
5.
Solve the linear equation using equivalent equations to isolate the variable.
5𝑥 = −5.4
6.
Solve the linear equation and simplify your answer.
0.1(𝑎 − 16) = 0.4(𝑎 − 1)
7.
Consider the following inequality:
−3𝑥 − 3 ³ − 21
Step 1. Solve the linear inequality above for the given variable. Simplify your solution and use algebraic
notation.
Step 2. Graph the solution to the given inequality.
8.
Solve the following formula for the indicated variable.
−5𝑥 − 3𝑦 = 13; solve for .
9.
You know the perimeter of a square to be 14 meters. Find the length of one side.
Step 1. First, choose the correct formula:
A) 𝐶 = 2 ä 𝑟
E) 𝑃 = 4𝑠
B) 𝑃 = 𝑎 + 𝑏 + 𝑐
F) 𝑃 = 2𝐿 + 2𝑊
C) 𝐼 = 𝑃𝑟𝑡
G) 𝐴 = 1 ℎ( 𝑏 + 𝑐 )
D) 𝐴 = 𝑏ℎ
H) 𝐶 = 5 ( 𝐹 − 32 )
2
9
Step 2. Without substitution, solve the formula for the unknown variable in terms of the known variables.
Step 3. Finally, solve the problem for the unknown value of the variable by substituting appropriate values
of the known variables in the formula. (Round your answer to 2 decimal places.)
10. Solve the linear equation using equivalent equations to isolate the variable.
7
2
= 𝑦 −
3
3
11. Solve the linear equation and simplify your answer.
−5𝑥 − 13 = −8𝑥 – 1
12. Find the unknown quantity in the given percent problem.
22% of 38 is ?
13. Solve the linear equation and simplify your answer. Write your solution as a simplified fraction or decimal
rounded to two places.
1
7
11
𝑎 + =
9
6
6
14. Solve the following formula for the indicated variable.
5
𝐶 = ( 𝐹 − 32 ); solve for 𝐹
9