ALGEBRA 1 REVIEW

EXPRESSIONS, EQUATIONS, AND FUNCTIONS

100

4(6n+7) when n=6

What is 172.

200

3 times the difference of a number m and 15 is equal to 30 (as an expression)

What is 3(m-15)=30.

300

Is x=8 a solution for 2x+10<4x-7

What is no, 26<25 does not work?

400

You buy apples at $2 per pound and oranges at $3.50 per pound. What is an expression for the total cost of fruit purchased? Also, what is the total cost of 7 apples and 4 oranges?

What is 2x+3.50y=c ; 28

500

A rectangular banner is 16 feet long and has an area of 80 square feet. What is the perimeter of the banner?

What is 42 feet.

REAL NUMBERS

100

Solve. 11 - square root of x 

where x=64

What is 3.

200

True or False: If a number is positive, then its opposite is negative.

What is true?

300

Solve.

-16-(-25.2)

What is 9.2

400

Simplify: -7x(x-13)

What is -7x^2+91x.

500

An elevator moves at a rate of -5.8 feet per second from a height of 500 feet above ground. It takes 6 seconds for the elevator to make its first stop. How many feet above the ground is the elevator now?

What is 465.2 feet?

LINEAR EQUATIONS/GRAPHING

100

Identify the slope and y-intercept: 6x+3y=18

What is m=-2;b=6

200

What is the slope of the equation: y=-x+7

What is -1?

300

Solve for x: 

16x-4=4(2x-3)

What is x=-1.

400

Solve the proportion:

b/8=9/4

What is b=18.

500

X-intercept and Y-intercept: -2x+5y=-20

What is x-intercept=10; y-intercept=-4

WRITING, SOLVING AND GRAPHING LINEAR EQUATIONS

100

Write the linear equation (in slope-intercept form) of the line that passes through the point (-2,9) and has a slope of -2.

What is y=2x+5

200

Write the linear equation in standard form of the line that passes through the two given points: (3,9) (1,1)

What is -4x+y=-3.

300

Equation of the line that passes through the given point and is perpendicular to the given line: (3,-3), y=x+5

What is y=-x.

400

Solve: 4(x-2)+ 5 > 9

What is x>3

500

Change the equation from point-slope form to slope-intercept form: y - 3 = 5(x + 2)

What is y = 5x + 13?

SYSTEMS OF EQUATIONS

100

How do you know if a linear system has a solution?

What is you can graph them to see if they intersect and/or solve using elimination or substitution.

200

Describe how to solve a system using the elimination method.

What is the process of eliminating one variable in order to solve for the other variable, then plugging the value back in to the original equation to solve the other variable.

300

Is the ordered pair a solution to the linear system? (8,5), 

5x-4y=20, 3y=2x+1

What is No.

400

Solve the system:

y = 6x-11 and -2x-3y = -7

x = -2.5 and y = -26

500

Solve the linear system: 2x+9y=16, 5x=1-3y

What is x=-1;y=2 or (-1,2)