Algebra 1 Review

Linear Equations

100

Solve the following:

3x +5 = 18

x = 5

200

Write an equation in slope intercept form with a slope of 2 and a y-intercept of (0,3).

y = 2x + 3

300

Write the following equation in standard form:

y - 2 = 2(x+1)

-2x + y = 4

400

What is the slope of the following equation:

6x + 3y = 24

slope = 2

500

What would be the slope of a line parallel to the given line:

y = 1/2x + 6

slope = 1/2

Quadratic Equations

100

What is the name of the graph of a quadratic equation?

Parabola

200

Solve the following quadratic:

x² +2x - 15=0

x = 3, -5

300

Factor the following trinomial:

2x² - 5x - 12

(2x + 3)(x - 4)

400

Solve the following quadratic equation:

3x² - 4x - 7

x = -1, 7/3

500

A rectangle has a width of (w) and the length is three more than the width. If the area of the rectangle is 40 inches squared, what are the dimensions of the rectangle?

w = 5

L = 8

Systems

100

When looking at a graph, how do you know the solution to a systems of equations?

By finding the points of intersection.

200

What does it mean to have no solution in a system?

The graphs never cross.

300

Solve the following system of equations:

x + y = -4

-x + 2y = 13

(-7, 3)

400

Find the solution to the system of these equations:

x - 3y = 12

x + 5y = 10

(45/4, -1/4) or (11.25, -.25)

500

At Beans & Bagels, a bagel costs $1 more than a cup of coffee. If 4 cups of coffee and 6 bagels cost $31, write the following systems of equations that can be used to determine the price of a bagel, b, and the price of a cup of coffee, c ?

c+1 = b 

6b+4c =31

Exponents

100

When dividing x⁴ and x³, you ____________ the exponents.

Subtract

200

Simplify the following expression:

(x²)⁴

x⁸

300

Simplify the following expression

x⁶ * 2x³ * (2x⁵)²

8x¹⁹

400

Simplify the following:

(2x² * 15x¹⁰ + 3y)⁰

1

500

Suppose that a stock’s price is rising at the rate of 7% per year, and that it continues to increase at this rate. If the value of one share of this stock is $43 now, find the value of one share of this stock three years from now.

Hint( Use y = ab^t)

$52.68

Random

100

What is the first step to solving this equation?

30 = 2(x-1)

Distribution of the 2

200

What is the first step in simplifying the following expression?

2(1-3) + 4(4 + 2)²

Subtract 1-3

or 

Add 4 + 2

300

Factor the following expression:

36x² - 16

(6x - 4)(6x + 4)

400

The senior class at High School B both planned trips there. The senior class at High School A rented and filled 8 vans and 8 buses with 240 students. High School B rented and filled 4 vans and 1 bus with 54 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.

V = 8, B = 22

500

What is the mean, median, mode, and range of the following data set?

22, 25, 18, 19, 10, 26, 32, 45, 17

Mean: 23.78

Median: 22

Mode: None

Range:35