HCHS Algebra 1 - Midterm Review

Linear Equations

100

2x + 10 = -22

x = -16

200

2(x + 7) - 3(4 + 6x) = 34

x = -2

300

7 - 3x = 5x - 4(2 + x)

x = 15/4

400

-(-3m - 4) = 7 + 3(4 - 4m)

m = 1

500

Solve for (x, y):

-2x - 14y = 28

4x + 14y = -28

(0, -2)

Slope Stuff

100

Find the slope between:

(2,8) and (-1,8)

m = 0

200

Find the slope between:

The origin and (-2,6)

m = -3

300

What is the slope of the following equation:

y == -x - 3

m = -1

400

Find the slope of the equation:

-8y = -48 - 11x

m = 11/8

500

Re-write the equation in slope-intercept form:

9x - 7y = 7

y = 9/7x - 1

Exponents / Polynomials

100

Fast!  Only 30 seconds to answer:

"Bad doggies go ______________"

"Downstairs"

200

Simplify:

-4(5x - y) + 2(-8y + x)

-18x - 12y

300

Multiply the expressions:

(3a⁴b)(6a³b³)

18a⁷b⁴

400

Factor the following expression (not on review):

20x⁴y - 40x³y - 32x²

4x²(5x²y - 10xy - 8)

500

-3r⁴ * v^-2 / 7v³r⁴

-3/7v⁵

Matrices / Miscellaneous

100

What are the dimensions for the matrices in problem #22?

2 x 3

200

Add the matrices in problem #23.  Write the answer as a new matrix with the same dimensions.

3 x 1

[-3]

[-9]

[4]

300

Write the equation equivalent to the verbal expression "A number, x, squared is 14 more than the product of 7 and x."

x² = 14 + 7x

400

Write the matrix for problem #21 in the same dimensions.  C = 5B.

2 x 2

[-20   25]

[10   5]

500

Write the answer for word problem #19 as a complete sentence using the correct units.

Jerry was traveling 42 mph.