Algebra 1 Practice Test

Name: ______________________   Date: __________   Score: ____ / 40

40 questions. Calculator allowed. Show your working. steplyclass.com/algebra-1/practice-test/

1. 1

   Evaluate 3(x − 2) when x = 7

   Answer: ____________________

2. 2

   Twice a number decreased by 3

   Answer: ____________________

3. 3

   Are 2(x + 3) + 3(x − 1) and 5x + 3 equivalent
   1. A) Yes
   2. B) No

4. 4

   Solve 5(n − 2) = 0
   1. A) n = −3
   2. B) n = 0
   3. C) n = 4
   4. D) n = 2

5. 5

   If 4m + 6n = 10, what is 2m + 3n?

   Answer: ____________________

6. 6

   y varies directly with x. y = 21 when x = 7. Find y when x = 10.

   Answer: ____________________

7. 7

   Make x the subject of px + q = rx

   Answer: ____________________

8. 8

   Solve x3 − 1 < 2

   Answer: ____________________

9. 9

   Solve x > 1 and x > 4

   Answer: ____________________

10. 10

    Solve |x − 5| = |x + 1|
    1. A) x = −1
    2. B) x = 1
    3. C) x = −5
    4. D) x = 2

11. 11

    Find the perimeter of square with corners (−1, −1), (3, −1), (3, 3), (−1, 3).

    Answer: ____________________

12. 12

    Is y = 4 − x linear
    1. A) Linear
    2. B) Not linear

13. 13

    Distance-time graph: (0, 0) (2, 20) (3, 20) (4, 0), find the speed of each part

    Answer: ____________________

14. 14

    Line (−1, 3) (2, 3)

    Answer: ____________________

15. 15

    Is (1, 3) a solution of x + y = 4 and 2x − y = −1
    1. A) Is a solution
    2. B) Is not a solution

16. 16

    Solve by substitution: 2x + y = 1, 3x + 2y = 4
    1. A) (x, y) = (−2, 5)
    2. B) (−3, 7)
    3. C) (x, y) = (5, −2)

17. 17

    2x − 3y = 1 and −4x + ky = 7 have no solution. Find k.

    Answer: ____________________

18. 18

    Calculate (2.5 × 10⁻³) × (4 × 10⁵)

    Answer: ____________________

19. 19

    Simplify 3x(x − 2)

    Answer: ____________________

20. 20

    Factor x² + 3x − 10

    Answer: ____________________

21. 21

    Factor 3x³ + 24

    Answer: ____________________

22. 22

    Factor x³ − 16x = 0
    1. A) x = −4 or x = 4
    2. B) x = 0
    3. C) x = 0 or x = −4 or x = 4
    4. D) x = 0 or x = 4 or x = 4

23. 23

    Simplify 3√20

    Answer: ____________________

24. 24

    Simplify 8√18 / 2√2

    Answer: ____________________

25. 25

    Calculate 4th root of 16

    Answer: ____________________

26. 26

    Rationalise 6/(√7 − 1)

    Answer: ____________________

27. 27

    Solve x² − 10x = −16 by completing the square

    Answer: ____________________

28. 28

    Solve x² − 5x = 14 by completing the square
    1. A) x = 7
    2. B) x = −7 or x = −2
    3. C) x = 7 or x = −2
    4. D) x = −7 or x = 2

29. 29

    Choose a method: 2x² + 4x − 6 = 0. Find x.

    Answer: ____________________

30. 30

    x² + kx + 16 = 0 has exactly one solution. Find k.

    Answer: ____________________

31. 31

    Linear or exponential: x 0, 1, 2, 3; y 10, 8, 6, 4. Find y.

    Answer: ____________________

32. 32

    The sum of three consecutive even numbers is 54. Find the numbers.

    Answer: ____________________

33. 33

    A box has 10-cent coins and 25-cent coins. There are 5 fewer 25-cent coins than 10-cent coins. The coins are worth $2.95. How many of each coin are in the box?

    Answer: ____________________

34. 34

    Eva can weed a garden in 5 hours. Tom can weed it in 20 hours. How many hours will it take them to weed it together?
    1. A) x = 1
    2. B) x = 4
    3. C) x = 20
    4. D) x = 25

35. 35

    A plumber charges $40 plus $30 per hour. Dan can pay at most $160. How many hours can the plumber work?

    Answer: ____________________

36. 36

    Lina puts $900 in a bank at 4% simple interest per year. She earns $108 interest. How many years does it take?

    Answer: ____________________

37. 37

    Big stamps cost $3 and small stamps cost $1. Tara bought 4 more small stamps than big stamps. She paid $24. How many of each stamp did she buy?
    1. A) x = 5
    2. B) x = 4
    3. C) x = 24
    4. D) x = 20

38. 38

    Large pizzas cost $15 and small pizzas cost $10. Raj spends $85. Write the equation.

    Answer: ____________________

39. 39

    Write 4x − 2y = 6 as y = mx + b

    Answer: ____________________

40. 40

    Line through (2, 3) perpendicular to y = 2x − 1. Find y.

    Answer: ____________________