Math 8A Final Review

Systems of Equations

100

Is (3,9) a solution to this system?

y=2x+3

y=4x-3

Yes

200

Solve the system of equations:

6x-5y=15

x=y+3

y=-3

x=0

(0, -3)

300

Solve the system of equations:

3x+8y=15

2x-8y=10

x=5

y=0

(5, 0)

400

Solve the system of equations:

14x+5y=31

2x-3y=-29

x=-1

y=9

(-1, 9)

Linear Equations

100

How many solutions does this equation have?

3x-10=3x+7

None

200

What is the y-intercept of this equation?

y=2x-7

(0, -7)

300

Find the x-intercept from this equation:

3x+2y=15

(5, 0)

400

Find the slope from these two points:

(5, 8) and (-2, -6)

2

Scientific Notation

100

Convert the following to standard form:

3.634 x 10^-3

.003634

200

Write the following in scientific notation:

44,000,000

4.4 x 10^7

300

Divide the following numbers in scientific notation:

3.6 x 10^-3 / 1.1 x 10^-6

3.27 x 10³

400

Add the following numbers in scientific notation:

(2.2 x 10²¹)+(8.7 x 10²²)

8.92 x 10²²

Pythagorean Theorem

100

What is the Pythagorean Theorem?

a^2+b^2=c^2

200

What is the length of the hypotenuse of a triangle that has legs that are 6 and 8 units long?

10

300

Jake plans to use a ramp to make it easier to move a piano out of the back of his truck. The back of the truck is 33 inches tall and the ramp is 65 inches long.

What is the horizontal distance from the end of the ramp to the back of the truck?

56 inches

400

Find the distance between these two points:

(-3, 6) and (4, -2)

10.63