Mastering Algebra: Equations from Shapes and Word Problems

A rectangle has a length that is 3 times its width. If the perimeter of the rectangle is 48 cm, what is the width?

• 4 cm

• 8 cm

• 10 cm

• 6 cm

Tags

CCSS.8.EE.C.7B

The area of a triangle is given by the formula A = 1/2 * base * height. If the base is 10 cm and the area is 50 cm², what is the height?

• 5 cm

• 10 cm

• 20 cm

• 15 cm

Tags

CCSS.6.G.A.1

A square has a perimeter of 40 cm. What is the length of one side of the square?

• 15 cm

• 20 cm

• 10 cm

• 5 cm

Tags

CCSS.4.MD.A.3

The sum of the angles in a triangle is 180 degrees. If one angle is 50 degrees and another is 70 degrees, what is the measure of the third angle?

• 60 degrees

• 90 degrees

• 80 degrees

• 40 degrees

Tags

CCSS.8.G.A.5

A rectangular garden has a length that is 4 meters more than its width. If the area of the garden is 60 m², what is the width of the garden?

• 6 meters

• 10 meters

• 8 meters

• 4 meters

The length of a rectangle is twice its width. If the width is x and the perimeter is 36 cm, write an equation and solve for x.

• 10 cm

• 6 cm

• 8 cm

• 4 cm

Tags

CCSS.6.EE.B.7

A trapezoid has bases of lengths 8 cm and 12 cm. If the height is x cm and the area is 100 cm², write an equation to find x and solve for x.

• 10 cm

• 15 cm

• 12 cm

• 8 cm

Tags

CCSS.6.EE.B.7

A parallelogram has a base of 10 cm and a height of x cm. If the area is 70 cm², what is the height?

• 3 cm

• 7 cm

• 5 cm

• 10 cm

Tags

CCSS.6.G.A.1

The length of a side of a cube is x cm. If the volume of the cube is 125 cm³, what is the length of one side?

• 8 cm

• 5 cm

• 4 cm

• 6 cm

Tags

CCSS.8.EE.A.2