Ms. Tran's Pre-Algebra Review

Solving Equations

100

y + 7 = 21

What is y=14

200

2x + 5 = 3x - (x - 5) 

There are infinite solutions.

300

4(8n − 1) = 19 + 32n

There is no solution to this equation.

400

(-7/2)x - (5/2) + 2x = (-17/5)

What is x = 3/5

500

(2/3)x - (1/2) = (4/3) - x

What is x = 11/10

Systems of Equations

100

y = 2x + 2

y = -2

(-2, -2)

200

2x + 3y = -9

x + 2 = -1

(-3, -1)

300

5x + 2y = 4

2x - 3y = -13

(-2, 3)

400

y = 5/2x - 4

y = -x + 3

(2, 1)

500

-x + 3y = 6

4x +3y = -9

(-3, 1)

Linear Equations

100

What is the slope of this line?

y = -x + 2

Slope = -1

200

What is the initial value of this line?

x - y = 12

The initial value or y-intercept = -12

300

What is the slope of this line?

-3x + 2y = 6

Slope = 3/2

400

What are the COORDINATES of the y-intercept of this line?

-x + 4y = -16

(0, -4)

500

What is the slope AND y-intercept of this line?

5x + 3y = 24

Slope = -5/3

y-intercept = 8

Simplifying

100

Simplify:

a + b + 2a + 5 + a

4a + b + 5

200

Simplify:

4x + 3y - 2(x - 2y) + 4 = ?

2x + 7y + 4

300

Simplify:

3y - 4 (6 + 2x + y) + 2 = ?

-8x - y - 22

400

Simplify

6(x - 2y) - 3 (-x - 4y) = ?

9x

500

Simplify.

-4(6y - 2) + 10 + 2(-2x - x) = ?

-6x - 24y + 18

Using Formulas

100

What is the rate, in miles per hour, of a balloon that travels 60 miles in 4 hours?

What is 15 mph.

200

What year did Ms. Tran graduate from high school?

2006

300

Find the distance traveled by driving at 55 miles per hour for 3 hours.

What is 165 miles.

400

The perimeter of a rectangle is 46 centimeters. Its width is 5 centimeters. Find the length.

What is 18 cm.

500

The circumference of a circle is 47.1 ft. What is the radius of the circle?  Use 3.14 for pi.

radius = 7.5 ft.