Expressions, Equations, and Inequalities

Caleb earned 83 on his midterm.
To earn a B, the average of his midterm and final exam must be no less than 85 and no more than 94.

Let f be the final exam score.

• 85 ≥ x ≥ 94

• 85 ≤ x ≥ 94

• 87 ≤ x ≤ 105

• 87 > x > 105

How many solutions can be found for the linear equation:
5 (3k+2) = −2 (4k−5) + 8

• No Solution

• One Solution

• Two Solutions

• Infinitely Many Solutions

Tags

CCSS.8.EE.C.7A

A rectangle's area is given by the expression:
A = 7r * 2r

What does the term 7r represent in this context?

• The width increased by 7

• The perimeter of the rectangle

• The contribution to the area from a side of length r multiplied by 7

• The total area of the rectangle

Tags

CCSS.HSA-SSE.A.1A

Taylor sells handmade bracelets for $7 each.
She spent $65 on materials.
She wants to make at least $100 in profit.

Let n represent the number of bracelets sold.

Which inequality represents this situation?

• 7n – 100 > n + 65

• 7n – 65 ≥ 100

• 7n – 165 > 0

  she must sell at least 24 bracelets

• n – 165 > 10

  she must sell at least 25 bracelets

Tags

CCSS.7.EE.B.4B

abc = d

Solve for b

• b = acd

• b = 1/ac

• b = d/ac

• b = cad

Tags

CCSS.HSA.CED.A.4

Which of the following ARE NOT steps that correctly justify how to solve the equation below?
Circle all that apply.

6 (x − 3) + 5 = 2 + 4x

• Subtract 5 from both sides (Inverse)

• Distribute (Multiply by 6)

• Add 2 to both sides (Inverse)

• Subtract 4x from both sides (Inverse)

Tags

CCSS.HSA.REI.A.1

• Plan A: $50 per month plus a one-time sign-up fee of $50

• Plan B: $50 per month plus a one-time sign-up fee of $70

What does the solution mean in this context?

• The two plans are equal for every month.

• The two plans are equal when m = 50

• The two plans will never cost the same, no matter how many months you stay.

• The two plans are equal only when m = 20

A = lw

Solve for w.

• A * l = w

• l - A = w

• A/l = w

• l/A = w

Tags

CCSS.HSA.CED.A.4

Lena is building a rectangular garden.
She wants the width of the garden to be 5 feet more than one-third the length.
She has a total of 72 feet of fencing to use for the perimeter.

Which inequality and viable solution is correct?

• 4L + 5 ≤ 72
  The length must be no more than 16.75 feet

• 2L + 2 (1/3​L + 5) ≤ 72
  The length must be less than or equal to 18 feet

• 8/3L + 10 ≥ 72
  The length must be greater than or equal to 23.25 feet

• 8/3L + 10 ≤ 72
  The length must be less than or equal to 23.25 feet

The formula of the perimeter for an equilateral triangle is P = 3a where a represents one side of the triangle. What equation can you use to find the side length of an equilateral triangle, given its perimeter (P) and (a) one of the sides?

• a = 3P

• P/3 = a

• P - 3 = a

• a = 3/P

Tags

GA.MA.9-12.CRM.PAR.3.5

GA.MA.9-12.CRM.PAR.3.6

GA.MA.8.PAR.3.6