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Quiz #7 Linear Equations and Inequalities in One Variable

Total questions: 15

Worksheet time: 11mins

Name
Class
Date
1.

Which of the following illustrates that two expressions have the same value?

a)

Algebraic expression

b)

Mathematical statement

c)

equation

d)

inequality

2.

What is the first step to solve for 7−4𝑥=18?

a)

Add -7 on both sides of the equation.

b)

Add 7 on both sides of the equation.

c)

Multiply -4 on both sides of the equation.

d)

Multiply 1/4 on both sides of the equation.

3.

Which value will satisfy the given illustration?

a)

-14

b)

-2

c)

2

d)

14

4.

What is the solution of the equation

−2𝑥 − 7 +5𝑥 =10?

a)

x=317x=\frac{3}{17}

b)

x=173x=-\frac{17}{3}

c)

x=177x=\frac{17}{7}

d)

x=173x=\frac{17}{3}

5.

Which equation have a solution of -13?

a)

x+20=3(x+2)x+20=3\left(x+2\right)

b)

x20=3(x+2)x-20=3\left(x+2\right)

c)

x20=3(x2)x-20=3\left(x-2\right)

d)

x+20=3(x2)x+20=3\left(x-2\right)

6.

Which is a possible value of 𝑛 in the illustration at the side?

a)

4-4

b)

3-3

c)

2-2

d)

1-1

7.

Which inequality represents the given graph below?

a)

x<2x<-2

b)

x>2x>-2

c)

x2x\le-2

d)

x2x\ge-2

8.

Which of the following is the solution set of the inequality

 10+3x<2?-10+3x<2?  

a)

 x>4x>4  

b)

 x<4x<-4  

c)

 x<4x<4  

d)

 x>4x>-4  

9.

Given the inequality

 6(4x3)102-6\left(4x-3\right)\ge-102  , what is the solution set?

a)

 (,5)\left(-\infty,5\right)  

b)

 (,5]\left(-\infty,5\right]  

c)

 (5,+)\left(5,+\infty\right)  

d)

 [5,+)\left[5,+\infty\right)  

10.

Which inequality have

 [8,+)\left[8,+\infty\right)  as its solution?

a)

 2x+3192x+3\le19  

b)

 2x+3192x+3\ge19  

c)

 2x+3<192x+3<19  

d)

 2x+3>192x+3>19  

11.

Which has a greater value when simplified?

a)

2020+1-\left|-2020\right|+\left|1\right|

b)

2020\left|-2020\right|

c)

2020-\left|2020\right|

d)

20201\left|2020\right|-\left|1\right|

12.

What is the point of partition of the absolute value equation

 2x11=0\left|2x-11\right|=0  ?

a)

 211-\frac{2}{11}  

b)

 211\frac{2}{11}  

c)

 112-\frac{11}{2}  

d)

 112\frac{11}{2}  

13.

What are the two cases in

 x+3=6\left|x+3\right|=6  ?

a)

 x3 and x<3x\ge-3\ and\ x<-3  

b)

 x>3 and x<3x>-3\ and\ x<-3  

c)

 x3 and x<3x\ge3\ and\ x<3  

d)

 x>3 and x<3x>3\ and\ x<3  

14.

What are the solutions of the absolute equation

 3x+5=8\left|3x+5\right|=8  ?

a)

 1 and 413-1\ and\ -4\frac{1}{3}  

b)

 1 and  4131\ and\ \ 4\frac{1}{3}  

c)

 1 and 413-1\ and\ 4\frac{1}{3}  

d)

 1 and 4131\ and\ -4\frac{1}{3}  

15.

Given

 4x5=2x+9\left|4x-5\right|=2x+9 ,  What are the solutions?

a)

 23 and 7-\frac{2}{3}\ and\ 7  

b)

 23 and 7-\frac{2}{3}\ and\ -7  

c)

 23 and 7\frac{2}{3}\ and\ 7  

d)

 23 and 7\frac{2}{3}\ and\ -7