Name: _________________________________Block: _____
Homework
Solving Equations Test Study Guide
Solve each equation, showing all work needed.
𝒙
= −𝟐𝟓
1) 𝟏𝟔 = −𝟐𝒙
2)
3) 𝟖 = 𝒕 + (−𝟒)
4) 𝒑 + 𝟑. 𝟖 = −𝟏. 𝟕
𝟓
5) The difference of a number and −10 is -1. What is the number?
6) Haley needs to find the solution to the equation −𝟑𝒙 − 𝟖 = 𝟐𝟒. Write the first step Haley will
use to solve this equation.
7)
𝒙
−𝟒
+ (−𝟐) = −𝟓
8) 𝟏𝟎 − 𝟓𝒙 = −𝟓
9) −𝟏𝟔 = −𝟐 + 𝟑𝒙
10) −𝟐𝒙 + (−𝟔) = 𝟎
11) −𝒙 − 𝟏𝟎 = −𝟏𝟐
12)
𝒙
𝟐
− (−𝟐𝟓) = −𝟖𝟓
13) Write the following as an algebraic expression:
Twice a number less five
14) Write the following as an algebraic equation:
Fourteen more than the quotient of a number and three is one.
15) Place the numbers in order from greatest to least.
2
4.5 × 10−2
45%
5
16) Circle the greater number: 6.8 × 10−3
0.005
7.8 × 10−4
1
17) |− | = ______
2
18) What is the value of the following expression?
−𝟓 − 𝟒(−𝟐) +
𝟏𝟐
−𝟑
19) What is the value of 𝟓𝒂 − 𝟑𝒃 + 𝟒 when 𝑎 = −1 and = −3 ?
20) Write the addition problem that is represented by the model below.