Unit 1 Test Review Name
A) Solve the equation.
1. 6y – 12= -6y + 12 2. 2.5x + 4.5 = x – 1.5
3. ½(2x + 6) = -2 4. –3(x – 5) = 5(3x - 1)
5. │x - 4│ = -2 6. │3x - 8│ = 1
B) Solve the equation for the requested variable.
1. x –2y = -4 for x 2. D = RT for R
C) Solve the inequality and graph the solution.
1. 2x – 9 ≤ -11 2. │x - 9│≤ 7
3. │3x - 4│> 14
D) Solve the word problem. Be sure to answer the questions that are asked.
1. The formula for the perimeter of a rectangle is P = 2l + 2w. Solve the formula for l. Then, find the length of a rectangle with a perimeter of 80 meters and a width of 20 meters.
2. You want to wallpaper a room that will require 420 square feet of wallpaper. The wallpaper you selected costs $24.99 per roll. Each roll will cover 60 square feet. How much will your project cost?
3. A salesperson’s salary is $19,750 per year. In addition, the salesperson earns 6% commission on the year’s sales. Last year, the salesperson earned $32,750. How much was sold that year?
E) Find the x- and y- intercepts of the graph of the equation y = 3(2x + 4).
F) In the space provided, sketch the graph of the equation y = x – 7, and state the slope and y-intercept.
G) Find the slope of the line passing through each pair of points below. Then, describe the slant of the line.
1. (3, 5), (1, 2) 2. (-3, 2), (3, 2)
H) In the space provided, plot the x- and y-intercepts, and sketch the graph, of the following equation: y = 2x – 4
I) Write the equation 3x + 5y = 2 in slope-intercept form and sketch the graph of the line in the space provided. Find the slope of the line perpendicular to this line.
J) What quadrant(s) could contain the point (x, y) if x < 0 and y > 0?
K) Evaluate the functions for the specified values. Be sure to simplify your answers as much as possible.
1. If, find 2. If , find .
L) List the domain and range of the relation below as sets of numbers. Is the relation a function? Why or why not?
{(0, 1), (2, 5), (-2, -3), (1, 3)}
M) Graph the linear inequalities
1. 2.
3. 4.
N) Graph the following piecewise functions:
1. -x + 2, x < 1
y =
½ x – 3 , x 1
2. -x + 2, x > 0
y =
½ x – 3 , x 0
O) Graph the following absolute value equations.
1. 2.
3.