Algebra 2 Tests
1. What is the apparent solution to the system of equations graphed above?
(-2,2)
3. What is f(-3) if f(x) = |2x - 1|-5
2
9. You are spending $144 for new sweaters, T-shirts, and pants. Sweaters (s) cost $14, and pants (p) cost $23, each. Which equation represents this situation?
28s + 14t + 23 p = 144
17. An electrons store makes a profit of $32 for every portable DVD player sold and $64 for every DD recorder sold. The manager's target is to make at least $256 a day on sales of the portable DVD players and DVD recorders. Write an inequality that represents the number of both kinds of DVD of players that can be sold to reach or beat the sales target. Let p represent the number of portable DVD players and represent the number of DVD recorders.
32p + 64r > 256
7. Which graph best represents the equation 2x + 2y = 4?
A B C D
10. The table below shows the time, in seconds, that it takes to fill 20-ounce bottles with water. Which graph best models the relationship in this table?
A.
15. Which of the following shows the graph of the inequality y>-x-2?
A.
10. Solve the equation or formula for the indicated variable. a=21^3w, for w
A. w=a/21^3
5. Name the property of real numbers illustrated by the equation. 5 + (sqr15 + 6) = (5 + sqr15) + 6
Associative Property of Addition
4. Which does not describe the same situation?
C.
Which graph best represents the following equation? y+4=|x+2|
C.
6. pie x 7 = 7 x pie
C. Communtative Property of Multiplication
16. Solve the inequality. Graph the solution. |x - 5| ≤ 3
D.
3. Considering the one-time deposit and monthly rent, the equation y=1200+400x can be used to represent y, the total cost of renting an apartment for x months. What is the amount of desposit?
D. $1200
13. What is the solution to the compound inequality? -8 ≤ 2x - 4 < 2
D. -2 ≤ x < 3
2. Which expression represents the perimeter of the rectangle above?
D. 12x + 6
Jack has $205, and he is spending $2 each day. Which algebraic expression describes this situation, where d represents the number of days?
D. 205-2d
12. As a salesperson, Brittany earns $1,200 a month plus 7.5% commission on her sales. She needs to earn at least $3,300 a month to pay all her bills. The following inequality can be used to find the amount of sales Brittany needs to have each month. 1200 + 0.075x ≥ 3300 What is the solution to the inequality?
x ≥ 28,000
11. Which inequality represents the following sentence? Twelve fewer than a number is at least 18.
x-12≥18
14. Solve the absolute value equation. |4x - 1| = 1
x=0 or x=1/2
15. Which represents the solution to the absolute value equation? 2|x + 2| - 1 = 5
x=1 or x=-5
16. Which of the following inequalities is shown in the graph?
y<-1/2x+4
12. Which equation defines the graph of y=x^3 after it is shifted vertically 5 units down and horizontally 4 units left?
y=(x+4)^3-5
14. Which equation best represents the graph shown above?
y=(x-1)^2
8. Which equation best represents the line graphed above?
y=x-4
1. Which set is ordered pairs in the form of (x,y) does not represent a function of x?
{(0, 2), (1, 2), (1, -2), (3, 2)}
2. What is (are) the x-intercept(s) of the function graphed above?
-3, 0, and 4
13. The graph of y=x^2 is shown below. If graphed on the same grid, which of the following could be the graph of y=0.4x^2?
B.
17. Solve the inequality. Graph the solution. |x - 1| > 7
B.
7. Which algebraic expression models the given word phrase? 2 times the sum of a and b
B. 2(a+b)
1. Which of the following is equal to (2x/3-7)+7?
D. 2x/3
4. Which equation is equivalent to 2x + 4a = 10
D. x = 5 - 2a
11. If a linear equation is written in the form y=1/2x-2, which method could be used to graph the line represented by the equation?
Plot the y-intercept (0,-2) and use the slope of 1/2 to find a second point.
6. Write the equation in slope-intercept form. What are the slope and y-intercept?
y=-2/11x-5/11; slope:-2/11;y-intervept:-5/11
9. Which equation best represents the line graphed above?
y=-4
5. What is an equation of the line in slope-intercept form? m=3 and the y-intercept is (0,4)
y=3x+4
