Solving Equations and Writing Inequalities

Solving Equations and Writing Inequalities

8th Grade - University

12 Qs

quiz-placeholder

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Solving Equations and Writing Inequalities

Solving Equations and Writing Inequalities

Assessment

Quiz

Mathematics

8th Grade - University

Practice Problem

Medium

CCSS
6.EE.B.5, 6.EE.B.8, HSA.CED.A.1

+8

Standards-aligned

Created by

Cayla Brown

Used 262+ times

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12 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Joe’s Canoes charges an initial fee of $20 plus $4 an hour. Callie’s Canoes charges a flat rate of $14 an hour. Find the number of hours for which the total amount that both places charge would be the same.

3 hours
4 hours
1 hour
2 hours

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

2 hours
3 hours
4 hours
5 hours

Tags

CCSS.8.EE.C.8C

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve.
½x - 6 = ¼x + 4

s = -40
s= 40
s=20
s= -20

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Select the situation that could be modeled by: 120 + 25x = 45x.

John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?
George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?
Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?
A cell phone company charges $25 for service and $120 per gigabyte.  Another company charges $45 per gigabyte.  For how many gigabytes would the price be the same?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Select the situation that could be modeled by: 12 + 5x = 18+3x

Derek charges a base fee of $12 to walk a dog plus $5 per hour. Darla charges a base fee of $18 plus $3 an hour to walk a dog. After how many hours would they make the same amount of money?
Andy buys 12 sodas for $5 each. Alex buys 18 sodas for $3 each. If they each spent the same amount, how much did they spend?
Brian charges $12 for a hat and $5 per shirt. Blake buys 3 hats and 18 shirts. How many hats and shirts must they sell to make the same amount of money?
Charlie sells dozens of eggs for $5.  Calvin sells a dozen and a half eggs for $3 each.  How many do they have to sell to make the same amount of money?

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Solve.
.5x - 1 = .25x + 2

x = 3
x = -12
x = 12
x = -3

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Which inequality represents the following problem:
The Rug store installs carpet for $80 plus $9.50 per square yard of carpet. The Magic Carpet charges $120 for installation and $7.50 per square yard of carpet. Find the number of square yards of carpet for The Rug Store charges more than The Magic Carpet.

80+9.50x > 120+7.50x
80+9.50x < 120+7.50x
80x+9.50 > 120x+7.50
80x+9.50 < 120x+7.50

Tags

CCSS.7.EE.B.4B

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