WorksheetsUnit 1. Equations and Inequalities Test
Total questions: 16
Worksheet time: 11mins
Simplify an expression for the model below.
5x + 3.5
-2x - 2
4x + 12
2x + 6
Which gives a simplified expression for the area of the rectangle?
5x + 3.5
5x + 8.75
4x + 12
2x + 6
Four students were given the expressions to simplify as shown. Which statement is NOT true?
Frank’s expression simplifies to -6x + 14.
Henry’s expression simplifies to 19 – 10x.
Anthony’s expression simplifies to 3x + 4.
Sean’s expression simplifies to 7x + 32.
Which value of n makes the equation true? 7.9n + 9 – 4.4n = 17.4
n = 3.9
n = 7.5
n = 2.4
n = 1.4
Which of the following represents the variables of the equation collected on one side of the equation and the constants collected on the other?
-24x + 13 = -48x – 59
70x = -46
70x = 46
24x = 72
24x = -72
What is the solution set for the inequality?
-4x + 11 > 8x + 59
x < 4
x > -4
x < -4
x > 4
Solve the equation below.
-2.2(10 - 5a) = -4a - 82
a = 2
a = -2
a = 4
a = -4
Which of the following is a solution to the inequality? 44 - (x + 12) ≤ 4(4x + 9) - 15x
x = 1
x = -7
x = -11
x = -3
Solve the equation.
-3 - 1.5(2c + 4) = 3 (-3 - 5c)
All real numbers
No solution
c = -12
c = 0
Danny solved the inequality as shown. Which best describes Danny's mistake?
Danny distributed incorrectly.
Danny combined like terms incorrectly.
Danny did not make a mistake.
Danny should not have flipped the inequality sign.
Mr. Alman is shopping for his classroom and needs to buy a new desk chair and several books. At Pencils and Paperclips, he would pay $79.50 for the chair and $11.25 for each book. At Office Supply Co., he would pay $94.50 for the chair and $9.75 for each book. Write an inequality to represent b, the number of books Mr. Alman would need to buy for Office Supply Co. to be the cheaper option.
b>5
b<5
b>10
b<10
Which value of x makes the equation true?
-6 + 5x + x = -3 (2x + 40)
x = -9.5
x = -10.5
x = 9.5
x = 10.5
Find the solution set to the inequality below. 7(-y + 3) > 3(9 - 2y)
y < 6
y > 6
y < -6
y > -6
Mr. Peterson asked his students to write an equation with a solution of x = 0.5. Which student successfully completed the task?
Jill only
April only
Both Jill and April
Neither Jill nor April
Show the steps
-2(2b)
-2(3)
4(b)
4(-5)
Which value of x makes this equation true?
