Math 7 Review

Answer explanation

To solve the equation, first add 1/2 to both sides to isolate x. This gives 3x = 3. Then divide by 3 to find x = 3/2.

Tags

CCSS.7.EE.B.3

A recipe calls for 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar do you need?

• 4 cups

• 5 cups

• 6 cups

• 7 cups

Answer explanation

For every 3 cups of flour, you need 2 cups of sugar. Therefore, for 9 cups of flour, you need (9/3)*2 = 6 cups of sugar. The correct answer is 6 cups.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

A map has a scale of 1 inch to 5 miles. If two cities are 3 inches apart on the map, what is the actual distance between the cities?

• 10 miles

• 15 miles

• 20 miles

• 25 miles

Tags

CCSS.6.RP.A.3B

Answer explanation

To simplify the expression, distribute 4 to both terms inside the parentheses: 4(2x) + 4(3) - 2x. This results in 8x + 12 - 2x. Combining like terms gives 6x + 12.

Tags

CCSS.7.EE.B.3

A rectangular prism has a length of 4 cm, a width of 3 cm, and a height of 5 cm. What is its volume?

• 60 cm³

• 50 cm³

• 40 cm³

• 30 cm³

Tags

CCSS.7.EE.B.3

Tags

CCSS.7.NS.A.3

Tags

CCSS.7.EE.B.3

• 197.82 cm³

• 198.82 cm³

• 199.82 cm³

• 200.82 cm³

Answer explanation

To find the volume of a cylinder, use the formula V = πr²h. Substituting r = 3 cm and h = 7 cm, V = 3.14 * 3² * 7 = 197.82 cm³. Therefore, the correct answer is 197.82 cm³.

Tags

CCSS.7.EE.B.3

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.7

A car travels 180 miles in 3 hours. What is the car's speed in miles per hour?

• 50 mph

• 55 mph

• 60 mph

• 65 mph

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2