Solving Basic Equations and Inequalities

A student needs to collect at least $30.00 for a sports fundraiser. The student has already collected $7.00. The inequality shown can be used to find d, the number of dollars the student still needs. 
d + 7 ≥  30
Which inequality represents the solution set for this situation?

• d ≤ 37
• d ≥ 37
• d ≤ 23
• d ≥ 23

Tags

CCSS.7.EE.B.4B

Bill is selling cups for $15 each. He wants to make more than $210 in cup sales. The inequality 15c > 210 can be used to determine the number of cups, c, he must sell in order to meet his goal. Which number line best represents the solution to the inequality?

• A
• B
• C
• D

Tags

CCSS.6.EE.B.8

Solve for x:
8x - 10 = -34

• 4
• 3
• -3
• -24

Tags

CCSS.7.EE.B.4A

Solve:
3(x - 2) = 18

• 6.7
• 4
• 8
• -4

Tags

CCSS.7.EE.B.4A

Find the error in the problem below
19 - 2k = 3k - 1
     +3k   +3k
19 + 1k = -1
-19           -19
k = -20

• They should have divided by 1 for the last step
• They should add 19 instead of subtracting 19
• I can not find an error
• Instead of adding 3k they should subtract 3k

Tags

CCSS.HSA.REI.A.1

Which situation can be represented by the inequality
15 + 6x ≤ 100?

• Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?
• Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

Tags

CCSS.7.EE.B.4B

Match the inequality to the word problem.

Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

• 25 - 12x ≥ 200
• 25 + 12x ≥ 200
• 13x ≥ 200
• 25 + 12x > 200

Tags

CCSS.7.EE.B.4B

The product of x and 7 is not greater than 10

• 7x >10
• 7x ≤ 10
• 7 + x < 10
• ⁷ / _x <  10

Tags

CCSS.6.EE.B.8

4x - 2 ≤ -22

• x ≥ -5
• x ≥ -6
• x ≤ -6
• x ≤ -5

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8

you must be at least 48 inches to ride the roller coaster.

• x > 48
• x < 48
• x ≤ 48
• x ≥ 48

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.8