Quiz about ABS equations

Question 1

Which compound inequality represents the graph?

Accepted Answer

m < -1 OR m > 2

Answer

-1 < m < 2

Answer

m > -1 OR m < 2

Question 2

Find the solution. Use nsolve.

$$4x\ -\ 5\ =\ -6\left(2x\ -\ 1\right)\ +\ 21$$

Accepted Answer

x = 2

Answer

x = -3

Answer

x = 6

Answer

x = 5

Question 3

Pick the correct inequality.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 4

What is the first step?

Accepted Answer

Get absolute value alone by dividing by 5 on both sides

Answer

Get absolute value alone by subtracting 5 from both sides

Answer

Split into two equations

Question 5

Solve: Get Absolute value by itself first.

Accepted Answer

n > -1 or n < -7

Answer

n > 1 or n < -7

Answer

-7 < n < -1

Answer

no solution

Question 6

Solve for m. Use nsolve.

$$5\left(5m\ +\ 3\right)\ =\ 17\left(2m\ +\ 3\right)$$

Accepted Answer

m = -4

Answer

m = 3

Answer

m = -2

Answer

m = 1

Question 7

solve for m: Use nsolve.

$$\frac{2}{3}\left(9m-6\right)=20$$

Accepted Answer

$$m=4$$

Answer

$$m=3$$

Answer

$$m=2$$

Answer

$$m=8$$

Question 8

Solve for w: Use nsolve.

$$\frac{2w}{5}-9=11$$

Accepted Answer

$$w=50$$

Answer

$$w=10$$

Answer

$$w=32$$

Answer

$$w=23$$

Question 9

Solve for x: Use nsolve.

$$-20=\frac{x-3}{6}$$

Accepted Answer

$$x=-117$$

Answer

$$x=-123$$

Answer

$$x=-\frac{1}{3}$$

Answer

$$x=-29$$

Question 10

Find the value of the variable that makes the equation true. Use nsolve.

$$-5\left(3x\ -\ 2\right)\ =\ 40$$

Accepted Answer

x = -2

Answer

x = 3

Answer

x = 1

Answer

x = -4

Question 11

Solve (get absolute value by itself first):

Accepted Answer

all real numbers

Answer

no solution

Answer

-6 < x < 26

Answer

x < -6 or x > 26

Question 12

What is the first step?

Accepted Answer

Get the absolute value alone by subtracting 5 from both sides

Answer

Get the absolute value alone by dividing both sides by 5

Answer

Drop the absolute value bars and add 7 and 5 together

Question 13

Get Absolute value by itself first.

Accepted Answer

no solution

Answer

x > 2 or x < -22

Answer

-22 < x < 2

Answer

all real numbers

Question 14

Solve for w. Use nsolve.

$$-4\left(3w\ +\ 4\right)\ -\ 14\ =\ 3\left(2w\ -\ 4\right)\ -\ 9w$$

Accepted Answer

w = -2

Answer

w = -4

Answer

w = 1

Answer

w = 5

Question 15

Which graph represents the inequality -2x + 3 < 7

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

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