Algebra I – ECA Practice D Name__________________________
**Session 1 – Calculators allowed**
1. Find the equivalent expression:
A. B. C. D.
2. Solve
A. B. C. D.
3. Factor
A. B. C. D.
4. Liam has $12.30 in his pocket. He pays $6.50 for a movie ticket. He wants to buy some bagged candy before taking his seat in the theatre. Each bag of candy costs $1.75.
Write a linear equation that can be used to find the maximum number of bags of candy (c) that Liam can buy. Then determine how many bags can he buy.
**Equation:_________________________ Answer: __________________ bags **
5. What is the solution to ?
**Answer: __________________**
6. Multiply (
A. 4 B. 4 C. 5 D. 5
7. Find the x intercept and y intercept of 4x - 5y = 20
** x-intercept: ________________ y-intercept: ___________________ **
8. Find the domain and range of the relation shown in the table
to the right, then determine whether or not it is a function.
**Domain: ________________ Range: _________________ ****Function?** _________
9. What is the graph of the line with a slope 2 that passes through the point (-3, 4)
A. B. C. D.
10. Which is the best estimate of the solution of the system of equations shown on the graph below?
A.
B
C.
D.
11. The graph shows the distance from school Maria traveled over time.
*Maria’s Bike Ride Home *
Describe the speed of the bike from point A to point B.
**Answer____________________________________________'> Answer____________________________________________**
Describe the speed of the bike from point B to point C
**Answer____________________________________________**
Describe the speed of the bike from point C to point D
**Answer____________________________________________ **
**A**
**B**
**DX**
**CX**
12. Which graph corresponds to the equation ?
A. B. C. D.
13. Simplify
A. B. C. D.
14. Aaron is older than Brian. The difference in ages is 3 years. The sum of their ages is 27. How old is Aaron?
** Answer: __________________ **
15. Simplify
A. B. C. D.
16. Which of the following is an equation of a line passes through the points (0,2) and (4,8)?
A B. C. D.
17. Factor completely
A. B. C. D.
18. Sammie gets to spend 30 minutes on the computer for each hour of chores she does. She decides to do chores an additional 30 minutes sometimes to get extra computer time.
Next week she’ll work on chores for 6 hours; one hour per day with no time on Sunday. She also work an additional 30 minutes on of her work days next week.
How many total hours will she work on chores?
** Answer____________________**
If she executes her plan next week, how much time will she get to spend on the computer?
** Answer____________________**
19. The length of 1 side of a square is (s+5) cm. If the area of the square is 56.25, what is the value of “s”?
A. 2.5 B. 7.5 C. 12.5 D. 28.125
20. What is the best estimate of the solution of the system of equations shown below?
A.
B
C.
D.
21. It costs $26,000 to fund a freshman football team. The players raised $12,200 through their sales. The remaining costs will be covered by ticket revenue. Tickets to the games cost $5 each. What is the minimum number of tickets needed to be sold to cover the cost of the team?
** Answer____________________**
22. Simplify
A. 4x^{5 }B. 8x^{5 }C. 32x^{5 } D. 2x^{5}
23. The graph of which equation has x-intercepts (4, 0) and (-3, 0)?
A. y = (x – 4) (x + 3) B. y = (x + 4) (x – 3) C. y = (x + 4) (x + 3) D. y = (x – 4) (x – 3)
24. Factor
A. x = 1 only B. x = 1, -2.5 C. x = -2.5 only D. no solution
25. At the high school play Adult tickets cost $3 more than student tickets. The Miller family paid $26 for 2 adult tickets and 2 student tickets. What is the cost in dollars of 1 student ticket?
**Answer____________________**
26. Which of the following is the equation of a line that passes through the point (4, 2) and has an x-intercept of 4?
A. y = 4x – 14 B. y = 4x + 2 C. y = 4 D. x = 4
27. Solve 2x^{2} – 4x – 3 = 0
A. B. C. D.
**Session 2 – Calculators not allowed**
1. Simplify
A. B. C. D.
2. Solve the system of equations below.
3x - y = 7
x + 3y = 19
What is the value of *y *in the solution? Answer in the grid to the right.
3. Solve for *m*:
** Answer____________________**
4. Which of the following is equivalent to (4xy^{6})^{3}?
A. 4x^{3}y^{9} B. 4x^{3}y^{18} C. 12x^{3}y^{18 }D. 64x^{3}y^{18}
5. Write an equation of a line that passes through the points (-2, 12) and (2, 4).
** Answer____________________**
6. Solve the system of equations below.
3x + 4y = -14
3x 4y = -34
What is the *x - *value of the solution? Answer in the gridded response box on the right.
7. Graph
8. What is the solution of
** Answer____________________**
9. Consider the statement below.
**“All linear equations have a graph with one y-intercept.”**
Which of the following equations shows that this statement is false.
A. B. C. D.
10. Solve
A. B. C. D.
11. Which expression is a factor of ?
A. B. C. D.
12. Solve the system of equations below.
A. B. C. D.
13. Pippa tried to solve the equation below, but made an error. Her work is shown below.
Describe the error Solve the equation for “x”.
_______________________________________________________________
_______________________________________________________________** Answer____________________**
14. Multiply
A. B. C. D.
15. Which graph represents the solution set of the inequality below?
A. B. C. D.
16. Mimi walked at a constant speed from her house to the arcade in 10
minutes. She played video games for 20 minutes, then walked back
home at a slower rate. It took her 20 minutes to get back home.
Sketch a graph to model Mimi’s distance from home over time in the
Distance from
home (miles)
50 minutes described.
time (in minutes)
17. Solve
A. 3 B. C. 5 D. -5
18. Solve
**Answer____________________**
19. Which graph represents the solution set of the inequality below?
A. B. C. D.
20. Solve
A. B. C. D.
21. What is the solution set to the system of equations below?
A. B. C. D.
22. Solve
**Answer____________________**
23. Solve the system of equations below.
** Answer___________________**
24. Which graph represents
A. B. C. D
25. Which graph represents the solution set of the inequality below?
A. B. C. D.
26. Graph
__ ____ __
27. The graph of which equation has x-intercepts of and
A.
B.
C.
D.
Core 40 Practice Test D Mr. Clark
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