SAT Crash Course

Algebra Question

Solve for x:

5x – 7 = 23

 

Step 1: Add 7 to both sides:
5x = 30

Step 2: Divide both sides by 5:
x = 6

 

Word Problem Question

A car travels 200 miles in 4 hours. How many miles does the car travel in 9 hours at the same speed?

 

Step 1: Find the speed of the car:
200 miles ÷ 4 hours = 50 miles/hour

Step 2: Multiply the speed by 9 hours:
50 × 9 = 450 miles

Answer: The car travels 450 miles in 9 hours.

 

Geometry Question

What is the perimeter of a rectangle with length 7 cm and width 4 cm?

Formula: Perimeter = 2 × (Length + Width)

 

Step 1: Substitute the values:
Perimeter = 2 × (7 + 4) = 2 × 11 = 22 cm

Answer: The perimeter is 22 cm.