Algebra 1 Final Exam Review

Solving Equations

100

Solve the equation for x:

4x−7=3x+8

x = 15

200

Solve for x:

5(x−2)=3x+4

x = 7

300

Solve for x: 

2x+3=7x−12

x = 3

400

Solve for x:

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

x = 10

500

Solve for x:

(2x+5)/(x-1) = 3

x = 8

Linear Functions

100

What is the slope of the line that passes through the points (3, -4) and (7, 2)?

Answer should be in SIMPLEST FORM!

m = 3/2

200

Find the y-intercept of the line y=−2x+5

b = 5

300

Write the equation of a line with slope 4 and passing through the point (1, 2).

y−2=4(x−1) 

or

 y=4x−2

400

Determine if the lines y=3x+1 and y=3x−4 are parallel, perpendicular, or neither.

Parallel

They have the same slope, but different y-intercepts

500

Find the x-intercept of the line 2x−3y=6.

x = 3

Systems of Equations

100

Solve the system of equations using any method:

x + y = 5

x - y = 1

x = 3, y = 2

or (3, 2)

200

Solve the system of equations using elimination.

8x − 6y = −20

-16x + 7y = 30

(-1, 2)

or x = -1, y = 2

300

Solve the system of equations using substitution:

y=2x−5
3x+y=4

x = 9/5

y= -7/5 or -1 2/5

400

Determine if the system has one solution, no solution, or infinitely many solutions:

y=−2x+3
2x+y=3

Infinitely many solutions

500

Solve the following system of equations using any method.

x + 7y = 0

2x − 8y = 22

x = 7

y = -1

or (7, -1)

Polynomials & Factoring

100

Simplify: (3x+2) + (5x−7)

8x - 5 or -5 + 8x

200

Multiply: (x+3)(x−4)

Hint: FOIL

x^2 - x - 12

300

Factor:

x^2 + 5x + 6

(x + 2)(x + 3)

400

Factor 

2x^2 - 5x - 3

(2x+1)(x−3)

500

If (x + 3) is one of the factors, what is the other factor in the binomial: 

x^2 - 9

(x - 3)

Quadratics & Word Problems

100

Solve the following equation: 

x^2 = 16

x = \+- 4

200

SOLVE the following quadratic equation 

x^2 - 5x + 6

x = 2, x = 3

300

Find the vertex of the following equation: 

y = x^2 - 4x + 3

(2, -1)

400

A rectangle has an area of 117 meters. If the length of the rectangle is x, and the width of the rectangle is 4 meters more, what are the dimensions of the rectangle?

length = 9 meters

width = 13 meters

9 X 13 = 117 square meters

500

A baseball is thrown from a height of 6 feet with a velocity of 32 feet per second. How long will it take for the ball to hit the ground? Round to the nearest TENTH Use the following equation that models this situation: 

h = -16t^2 + 32t + 6

2.2 seconds