Algebra 2 - Midterm Review part 1

Algebra Review

100

Solve for x:

x - 8 = 15

x = 23

200

Solve for p:

28=17 + p

p = 11

300

Solve for x:

8 = 8(-6x - 5)

x = -1

400

Solve for n:

26 = 2 + 4(-4n + 6)

n = 0

500

Solve for x:

-7 (1 + 2x) - 3(-4x - 3) = -5x - 7 - 6

x = -5

Linear Equations

100

Find the slope of

y = -4/3 x + 2

slope = -4/3

200

Find the slope of

y = 2x + 4

slope = 2

300

Find the slope of the line

-2y - x = 0

slope is -1/2

400

Find the slope of the line that goes through the points

(-16,-9) and (-9,12).

slope is 3

500

What are the slope and y-intercept of the following line:

-8x + 3y = -10

slope is 8/3
y-intercept is -10/3

Inequalities

100

Solve for x:

-23 > x - 18

x < -5

200

Solve for x:

-7 < x - 9

x > 2

300

Which direction do you shade on a number-line for greater-than?

To the right.

400

Solve for b:

b/29 > 22

b > 638

500

Dotted line or solid? Shade above or below?

y > 3x - 1

Dotted line, shade above.

Absolute Value

100

Solve for m:

|m + 10| = 7

m = -3 OR m = -17

200

Solve for x:

|-10x| = 60

x = -6 OR x = 6

300

Solve for b:

|4 + 6b| = 22

b = 3 OR b = -4.333

400

Solve for n:

8 |4 - n| = 40

n = -1 OR n = 9

500

Solve for n:

-4 - |4n - 3| = -43

n = -9 OR n = 10.5

Factoring

100

Find the factors of:

x² + 7x + 12

(x + 4)(x + 3)

200

Find the factors of:

x² + 9x + 20

(x + 4)(x + 5)

300

Find the factors of:

x² + 2x -35

(x + 7)(x - 5)

400

Find the 'zeros' for:

x² + 7x + 12 = 0

x = -3 OR x = -4

500

Find the 'zeros' for:

x² = -3x

x = -3 OR x = 0