Algebra 1 Practice Test
40 questions from 40 lessons · 80 minutes · percent score and grade · step-by-step answers
How it works
- 40 questions, about 80 minutes (a timer counts down; you can hide it). Solve it right here: no sign-up.
- 10 questions have choices. For the others you type the answer: a number like 4, −2, 7/2 or 3.5, or for example x = 4, x = 2 or x = −3, (3, 5), 2x + 1. Use ^ for powers (x^2) and sqrt for √. Any form with the same value counts (7/2 = 3.5).
- One question at a time: Back, Next, Mark for review and the question list at the bottom. A calculator is on the screen.
- At the end: your percent and grade, every question right or wrong, why a wrong choice is wrong, and its step-by-step solution. Then practise these lessons next: the lessons of the questions you got wrong, with new questions.
Your answers and results are kept in this browser only, so you can close the page and come back.
Formulas: the Algebra 1 formula sheet.
1 Question 1
Evaluate 3(x − 2) when x = 7Type the answer.
2 Question 2
Twice a number decreased by 3Type the answer.
3 Question 3
Are 2(x + 3) + 3(x − 1) and 5x + 3 equivalent- A) Yes
- B) No
4 Question 4
Solve 5(n − 2) = 0- A) n = −3
- B) n = 0
- C) n = 4
- D) n = 2
5 Question 5
If 4m + 6n = 10, what is 2m + 3n?Type the answer.
6 Question 6
y varies directly with x. y = 21 when x = 7. Find y when x = 10.Type the answer.
7 Question 7
Make x the subject of px + q = rxType the answer.
8 Question 8
Solve x3 − 1 < 2Type the answer.
9 Question 9
Solve x > 1 and x > 4Type the answer.
10 Question 10
Solve |x − 5| = |x + 1|- A) x = −1
- B) x = 1
- C) x = −5
- D) x = 2
11 Question 11
Find the perimeter of square with corners (−1, −1), (3, −1), (3, 3), (−1, 3).Type the answer.
12 Question 12
Is y = 4 − x linear- A) Linear
- B) Not linear
13 Question 13
Distance-time graph: (0, 0) (2, 20) (3, 20) (4, 0), find the speed of each partType the answer.
14 Question 14
Line (−1, 3) (2, 3)Type the answer.
15 Question 15
Is (1, 3) a solution of x + y = 4 and 2x − y = −1- A) Is a solution
- B) Is not a solution
16 Question 16
Solve by substitution: 2x + y = 1, 3x + 2y = 4- A) (x, y) = (−2, 5)
- B) (−3, 7)
- C) (x, y) = (5, −2)
17 Question 17
2x − 3y = 1 and −4x + ky = 7 have no solution. Find k.Type the answer.
18 Question 18
Calculate (2.5 × 10−3) × (4 × 105)Type the answer.
19 Question 19
Simplify 3x(x − 2)Type the answer.
20 Question 20
Factor x2 + 3x − 10Type the answer.
21 Question 21
Factor 3x3 + 24Type the answer.
22 Question 22
Factor x3 − 16x = 0- A) x = −4 or x = 4
- B) x = 0
- C) x = 0 or x = −4 or x = 4
- D) x = 0 or x = 4 or x = 4
23 Question 23
Simplify 3√20Type the answer.
24 Question 24
Simplify 8√18 / 2√2Type the answer.
25 Question 25
Calculate 4th root of 16Type the answer.
26 Question 26
Rationalise 6/(√7 − 1)Type the answer.
27 Question 27
Solve x2 − 10x = −16 by completing the squareType the answer.
28 Question 28
Solve x2 − 5x = 14 by completing the square- A) x = 7
- B) x = −7 or x = −2
- C) x = 7 or x = −2
- D) x = −7 or x = 2
29 Question 29
Choose a method: 2x2 + 4x − 6 = 0. Find x.Type the answer.
30 Question 30
x2 + kx + 16 = 0 has exactly one solution. Find k.Type the answer.
31 Question 31
Linear or exponential: x 0, 1, 2, 3; y 10, 8, 6, 4. Find y.Type the answer.
32 Question 32
The sum of three consecutive even numbers is 54. Find the numbers.Type the answer.
33 Question 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?Type the answer.
34 Question 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?- A) x = 1
- B) x = 4
- C) x = 20
- D) x = 25
35 Question 35
A plumber charges $40 plus $30 per hour. Dan can pay at most $160. How many hours can the plumber work?Type the answer.
36 Question 36
Lina puts $900 in a bank at 4% simple interest per year. She earns $108 interest. How many years does it take?Type the answer.
37 Question 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?- A) x = 5
- B) x = 4
- C) x = 24
- D) x = 20
38 Question 38
Large pizzas cost $15 and small pizzas cost $10. Raj spends $85. Write the equation.Type the answer.
39 Question 39
Write 4x − 2y = 6 as y = mx + bType the answer.
40 Question 40
Line through (2, 3) perpendicular to y = 2x − 1. Find y.Type the answer.