WorksheetsReview: Solving Equations
Total questions: 32
Worksheet time: 3hrs 51mins
Name
Class
Date
1.
What is the first step in solving this equation:
5x + 7 = 12
5x + 7 = 12
a)
Divide by 5
b)
Subtract 5
c)
Multiply by 7
d)
Subtract 7
2.
Solve for x:
8x - 10 = -34
8x - 10 = -34
a)
4
b)
3
c)
-3
d)
-24
3.
Solve for w:
-6w + 1 = -11
-6w + 1 = -11
a)
2
b)
1.2
c)
12
d)
-2
4.
Solve:
-4x = 24
-4x = 24
a)
20
b)
-20
c)
6
d)
-6
5.
Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...
a)
Inverse operations
b)
math
c)
variable
d)
PEMDAS
6.
Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?
a)
50 + 20m = 290
b)
20 + 50m = 290
c)
50 + 20 = m
d)
50m - 20 = 290
7.
Zaira spent a total of 55 hours in 2 weeks working on a science project. She worked 32 hours the first week. How many hours did she work in the second week?
a)
13 hours
b)
23 hours
c)
64 hours
d)
87 hours
8.
Solve.
a)
-12
b)
0
c)
1
d)
3
9.
Solve.
a)
0
b)
14
c)
13
d)
-2
10.
Solve.
a)
5
b)
8
c)
-5
d)
7
11.
Solve.
a)
4
b)
8
c)
-6
d)
-14
12.
Solve.
a)
-3
b)
9
c)
-2
d)
16
13.
Solve.
a)
-7
b)
-3
c)
-16
d)
-5
14.
Solve.
a)
-11
b)
8
c)
-4
d)
-5
15.
Solve.
a)
-12
b)
-13
c)
0
d)
-9
16.
19 + a = -50
a)
a = -950
b)
a = -69
c)
a = -31
d)
a = -50/19
17.
m - 8 = -5
a)
m = 13
b)
m = -13
c)
m = 3
d)
m = -3
18.
How would you solve this equation: 9x = 153 ?
a)
multiply both sides by 9
b)
divide both sides by 9
c)
add 9 to both sides
d)
subtract 9 from both sides
19.
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
20.
Which equation has a = 5 as the solution?
a)
a + 15 = 10
b)
2a = 5
c)
2a = 10
d)
a - 15 = 10
21.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
22.
What is the definition of one solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
23.
What is the definition of no solution?
a)
no matter what constant is substituted in for the variable, the equation is ALWAYS true
b)
no matter what constant is substituted in for the variable, the equation will NEVER be true
c)
only this ONE solution will make the equation true
24.
Solve:
2x + 1 = 2x - 1
2x + 1 = 2x - 1
a)
No Solution
b)
x = 0
c)
Infinitely Many Solutions
25.
Solve:
3x + 15 = 3(x + 5)
3x + 15 = 3(x + 5)
a)
No Solution
b)
x = 15
c)
Infinitely Many Solutions
26.
3r - 5 = 2r
a)
No solution
b)
Infinitely many solutions
c)
r = 5
27.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1
a)
one
b)
no solutions
c)
infinite solutions
28.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2
a)
one
b)
no solutions
c)
infinite solutions
29.
Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x
5x + 6 = 2 + 3x
a)
one
b)
no solutions
c)
infinite solutions
30.
What is the solution to the equations?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
31.
5a + 3 - a = 4a
a)
one
b)
none
c)
infinite
32.
-x - x = 2x + 4
a)
one
b)
none
c)
infinite
100 %
