Unit 1 Review: Equations + Inequalities

Find the side lengths of the isosceles triangle whose perimeter is 90 cm, when the legs are 5 cm more than 2 times the base length.

Define your variable, write an equation/inequality and solve.

• x = base length

  2x + 5 + 2x + 5 + x = 90

  side length = 37 cm

• x = base length

  2x - 5 + 2x - 5 + x = 90

  side length = 20 cm

Tags

CCSS.8.EE.C.7B

• x = 40

• x = -10

• x = -20

• x = 30

Tags

CCSS.7.EE.B.4A

• x = 2w - y

Tags

CCSS.HSA.CED.A.4

A book shelf can hold up to 97 books. There are already 16 books on the shelf. Up to how many additional books can fit on the shelf?

Define your variable, write an equation/inequality and solve.

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

• -4x

• 4x

• -2x

• 2x

Tags

CCSS.7.EE.A.1

Solve for x.

-x + 10 = -2x + 4

• x = 2

• x = -6

• x = -2

• x = 14

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

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Tags

CCSS.7.EE.B.4B