Grade 8 · Math · Unit 8 of 18
Algebra Workshop
Monomials, equations and inequalities
What your child practises
Combining like terms, evaluating expressions with integers and decimals, solving equations with the variable on both sides, and solving inequalities and graphing the solutions on a number line.
Ontario Curriculum expectation: C2.1–C2.4 · adding and subtracting monomials and binomials, evaluating expressions, solving equations with multiple terms, and solving and graphing inequalities
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Which graph shows the solution of x < 3 on a number line?
- an open circle at 3 with an arrow pointing left
- a closed circle at 3 with an arrow pointing left
- an open circle at 3 with an arrow pointing right
Show answer
an open circle at 3 with an arrow pointing left
Hint: An open circle leaves out the number; a closed circle includes it. The arrow points toward the numbers that work.
Question 2
Simplify −4y + (−6y).
−4y + (−6y)
- 2y
- 10y
- −10y²
- −10y
Show answer
−10y
Hint: Combine like terms: add the numbers in front. The letter stays the same.
Question 3
Which of these is a solution of x ≤ 2?
- 1
- 3
Show answer
1
Hint: Put each number in for x and check whether the inequality is true.
Question 4
Add: (8x + 4) + (8x − 2)
(8x + 4) + (8x − 2)
- 18x
- 16x − 2
- 16x + 6
- 16x + 2
Show answer
16x + 2
Hint: Add the terms with the letter together, then add the numbers on their own.
Question 5
Solve for x.
11x − 9 = 5x + 33
answer box
Show answer
7
Hint: Subtract 5x from both sides to get one x term. Then undo the addition or subtraction, and divide.
Question 6
Solve the inequality.
4x + 7 > −9
- x > −16
- x > −4
- x ≥ −4
- x < −4
Show answer
x > −4
Hint: Solve like an equation. The sign stays the same when you divide by a positive number.