Algebra 1 Semester Review

Solving Equations Pt. 1

100

Solve this equation:

-19 = k - 5

k = -14

200

Solve this equation:

-4 = 6b - 2b

b = -1

300

Solve this equation:

-3x + 8x = -20

x = -4

400

Solve this equation:

4x - 8 + 4x = 8

x = 2

500

Solve this equation:

11 + 2v = 6 + v

v = -5

Solving Equation Pt.2

100

Solve this equation:

m/18=7

m = 126

200

Solve this equation:

64 = -4n

n = -16

300

Solve this equation:

3 (6 - 7x) = 102

x = -4

400

Solve this equation:

-40 + 4n = -2 (n - 1)

n = 7

500

Solve this equation:

-5a + 9 = -3 (a - 7)

a = -6

Finding Slopes

100

What is the slope formula?

m=(y-y)/(x-x)

200

Find the slope:

( 7, 4 )  ( 14, 1 )

-3/7

300

Find the slope:

( 2, -13 ) ( 11 , 1 )

14/9

400

Find the slope:

( 9, -8 ) ( -1, 6 )

-7/5

500

Find the slope:

( -4, -16) ( -11, -9)

-1

Point Slope Formula

100

What is point slope formula?

y -y_{1 =} m (x - x₁)

200

Write the slope-intercept form of the equation of the line through the given point with the given slope:

( -2, 5 ), m = -5

y = -5x - 5

300

Write the slope-intercept form of the equation of the line through the given point with the given slope:

( 2, 4 ), m = 2

y = 2x

400

Write the slope-intercept form of the equation of the line through the given point with the given slope:

( 3, -1), m = 1/3

y = 1/3x-2

500

Write the slope-intercept form of the equation of the line through the given point with the given slope:

( 4, 2 ), m = 5/4

y = 5/4x-3

Substitution/Elimination

100

Solve each system by SUBSTITUTION:

y = 2x

7x - 7y = -21

( 3, 6 )

200

Solve each system by SUBSTITUTION:

y = 4x - 1

3x + 2y = 20

( 2, 7 )

300

Solve each system by SUBSTITUTION:

8x - 3y = 16

y = 2x - 2

( 5, 8 )

400

Solve each system by ELIMINATION:

5x - 3y = 8

-5x - 8y = 3

( 1, -1 )

500

Solve each system by ELIMINATION:

-9x + 8y = 0

5x - 8y = 0

( 0, 0 )