Which phrase best represents d 3 + 8 = 12 \frac{d}{3}+8=12 3 d + 8 = 1 2 ?

Eight more than the quotient of a number, d, and three is twelve.

The quotient of eight more than a number, d, and three is twelve.

Eight more than the difference of a number, d, and three is twelve.

The difference of eight more than a number, d, and three is twelve.

Which phrase best represents n 11 + 9 \frac{n}{11}+9 1 1 n + 9 ?

The sum of nine and the quotient of a number, n, and eleven.

The sum of nine and the difference of a number, n, and eleven.

The difference of nine and the quotient of a number, n, and eleven.

The quotient of nine and the sum of a number, n, and eleven.

Directions: Select the correct answer to the boxes. What is the solution to 6 ≥ − 1 2 x + 21 6\ge-\frac{1}{2}x+21 6 ≥ − 2 1 x + 2 1 ?

− 30 ≤ x -30\le x − 3 0 ≤ x

− 27 ≤ x -27\le x − 2 7 ≤ x

Directions: Select a ray. Then select the endpoint that shows the correct location on the number line. What is the solution to this inequality? 2 x ≤ 8 2x\le8 2 x ≤ 8

x ≤ 4 x\le4 x ≤ 4 Closed circle on 4, arrow going left.

x ≤ 4 x\le4 x ≤ 4 Open circle on 4, arrow going left.

x ≤ 4 x\le4 x ≤ 4 Closed circle on 4, arrow going right.

x ≤ 4 x\le4 x ≤ 4 Open circle on 4, arrow going right.

Select the statement that correctly represents the inequality below. “Twice a number increased by 14 is at least the opposite of 10”

2 n + 14 ≥ − 10 2n+14\ge-10 2 n + 1 4 ≥ − 1 0

2 n + 14 ≤ − 10 2n+14\le-10 2 n + 1 4 ≤ − 1 0

2 n + 14 ≤ 10 2n+14\le10 2 n + 1 4 ≤ 1 0

2 n + 14 ≥ 10 2n+14\ge10 2 n + 1 4 ≥ 1 0

Select all statements that correctly represent the following inequality. 1 2 x − 3 > 5 \frac{1}{2}x-3>5 2 1 x − 3 > 5

Half the product of a number, x, minus three is greater than 5.

Half times of a number, x, decreased by 3 is greater than 5.

Three less than half of a number, x, is greater than 5.

Half the difference of a number, x, and 3 is more than 5.

Half the sum of a number, x, and 3 is at least 5.

At Cinema they sell drinks for $4 and candy packs for $2.50 each. If you want to purchase a drink and some candy packs, how many candy packs can you buy for no more than $14? Which inequality statement would match this situation? Let x represent the number of candy packs.

4 + 2.50 x ≤ 14 4+2.50x\le14 4 + 2 . 5 0 x ≤ 1 4

4 x + 2.50 ≥ 14 4x+2.50\ge14 4 x + 2 . 5 0 ≥ 1 4

2.50 x + 4 > 14 2.50x+4>14 2 . 5 0 x + 4 > 1 4

2.50 + 4 x ≤ 14 2.50+4x\le14 2 . 5 0 + 4 x ≤ 1 4

Sara has $100. She wanted to download 3 same-priced movies for her sleepover. If she wanted to have at least $25 left for snacks, how much could each movie cost? Which inequality statement could be used to solve this situation? Let x represent the cost of each movie she downloaded.

100 − 3 x ≥ 25 100-3x\ge25 1 0 0 − 3 x ≥ 2 5

100 + 3 x > 25 100+3x>25 1 0 0 + 3 x > 2 5

25 + 3 x ≥ 100 25+3x\ge100 2 5 + 3 x ≥ 1 0 0

3 x + 25 ≤ 100 3x+25\le100 3 x + 2 5 ≤ 1 0 0

Skate Land charges a $25 flat fee for party rentals and $3 for each person. Kim has $100 to spend on the party. How many friends could she invite to her party and not spend all the money? Which inequality statement could be used to solve this situation? Let x represent the number of tickets sold for the dance.

3 x + 25 ≤ 100 3x+25\le100 3 x + 2 5 ≤ 1 0 0

100 + 3 x > 25 100+3x>25 1 0 0 + 3 x > 2 5

25 + 3 x < 100 25+3x<100 2 5 + 3 x < 1 0 0

100 − 3 x ≥ 25 100-3x\ge25 1 0 0 − 3 x ≥ 2 5

Equations and Inequalities SOL 7.12, 7.13 Quiz

35 questions

Show all answers

1.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Using the given key, write a two-step linear equation to represent the model. Then solve and confirm your algebraic solution.

(a)

Tags

CCSS.8.EE.C.7B

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Using the given key, write a two-step linear equation to represent the model. What value must x be?

$3x+6=7,\ x=\frac{1}{3}\ \ or\ 0.\overline{3}$

$3x-6=7,\ x=-\frac{1}{3}\ \ or-0.\overline{3}$

Tags

CCSS.7.EE.B.4A

3.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Using the given key and equation mat, solve the following linear equation algebraically. $10=4-3x$

(a)

Tags

CCSS.8.EE.C.7B

4.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Using the given key, write a two-step linear equation to represent the model. Then solve and confirm your algebraic solution.

(a)

Tags

CCSS.8.EE.C.7B

5.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Using the given key, write a multistep linear equation to represent the model. Then solve and confirm your algebraic solution.

(a)

Tags

CCSS.8.EE.C.7B

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the solution to the equation? $\frac{d\ -\ 3.4}{7}=2.8$

d = 3.0

d = 3.8

d = 16.2

d = 23.0

Tags

CCSS.7.EE.B.4A

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Solve the equation below for p. $5p-21=4$

p = 3

p = 5

p = 7

p = 10

Tags

CCSS.7.EE.B.4A

8.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What value for x makes this equation true? $-\frac{1}{2}x-4.5=-23$

16

28

37

55

Tags

CCSS.6.EE.B.5

9.

FILL IN THE BLANKS QUESTION

2 mins • 1 pt

Write a value for x that will make this equation true. $1=-5x+6$

(a)

10.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the solution to $-\frac{2}{3}x-4=-10$ ?

x = 21

x = 19

x = 11

x = 9

Tags

CCSS.7.EE.B.4A

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Equations and Inequalities SOL 7.12, 7.13

Using the given key, write a two-step linear equation to represent the model. Then solve and confirm your algebraic solution. (a)

Using the given key, write a two-step linear equation to represent the model. What value must x be?

Using the given key and equation mat, solve the following linear equation algebraically. 10=4−3x10=4-3x10=4−3x (a)

Using the given key, write a two-step linear equation to represent the model. Then solve and confirm your algebraic solution. (a)

Using the given key, write a multistep linear equation to represent the model. Then solve and confirm your algebraic solution. (a)

What is the solution to the equation? \frac{d\ -\ 3.4}{7}=2.87d − 3.4​=2.8

Solve the equation below for p. 5p−21=45p-21=45p−21=4

What value for x makes this equation true? −12x−4.5=−23-\frac{1}{2}x-4.5=-23−21​x−4.5=−23

Write a value for x that will make this equation true. 1=−5x+61=-5x+61=−5x+6 (a)

What is the solution to −23x−4=−10-\frac{2}{3}x-4=-10−32​x−4=−10 ?

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Discover more resources for Mathematics

Using the given key, write a two-step linear equation to represent the model. Then solve and confirm your algebraic solution.

(a)

Using the given key and equation mat, solve the following linear equation algebraically. $10=4-3x$

(a)

Using the given key, write a two-step linear equation to represent the model. Then solve and confirm your algebraic solution.

(a)

Using the given key, write a multistep linear equation to represent the model. Then solve and confirm your algebraic solution.

(a)

What is the solution to the equation? $\frac{d\ -\ 3.4}{7}=2.8$

Solve the equation below for p. $5p-21=4$

What value for x makes this equation true? $-\frac{1}{2}x-4.5=-23$

Write a value for x that will make this equation true. $1=-5x+6$

(a)

What is the solution to $-\frac{2}{3}x-4=-10$ ?