Grade 7 algebra test
A free Grade 7 algebra test online, with answers. It draws questions from 3 topics and the numbers change every time, so you can take it again and again. Choose 10, 25 or 50 questions.
What the Grade 7 algebra test covers
Grade 7 works with formulae, flow diagrams and tables to describe a rule, and with simple algebraic expressions and equations.
- Algebraic expressions
- Solving equations
- Formulae and word formulae
When it is taught — Term 2
In the current Department of Basic Education plan, Grade 7 works with formulae, flow diagrams and functions in Term 2; algebraic expressions and equations are part of the full CAPS curriculum and appear in many school papers. It comes up in the Grade 7 maths Term 2 test, and again in the final Term 4 exam, which covers all four terms.
Sample Grade 7 algebra questions
Five questions of the kind the test asks. In the test itself every answer is marked straight away, with the working shown.
1. If x = 7, calculate the value of 4x + 7.
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Answer: 35
Replace x with 7: 4 × 7 + 7 = 35.
2. Solve for x:
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Answer: 34
Subtract 11: x ÷ 2 = 17. Multiply both sides by 2: x = 34.
3. A taxi charges R250 plus R8 a kilometre. What does a 50 km trip cost?
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Answer: 650
R250 + (50 × R8) = R250 + R400 = R650.
4. Solve for x:
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Answer: 11
Subtract 22 from both sides: 4x = 44. Divide by 4: x = 11.
5. A plumber charges R300 for a call-out plus R180 an hour. Write a formula for the total cost C for h hours.
- C = 180 + 300h
- C = 480h
- C = 300h + 180
- C = 300 + 180h
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Answer: C = 300 + 180h
The R300 is paid only once, and the R180 is multiplied by the number of hours: C = 300 + 180h.
Common mistakes in Grade 7 algebra
Treating 3x + 2 as 5x, and solving x + 5 = 12 by adding 5 instead of taking 5 away.
Questions about the Grade 7 algebra test
What does the Grade 7 algebra test cover?
It covers 3 CAPS topics: Algebraic expressions, Solving equations, Formulae and word formulae. Grade 7 works with formulae, flow diagrams and tables to describe a rule, and with simple algebraic expressions and equations.
When is Grade 7 algebra taught?
In the current Department of Basic Education plan, Grade 7 works with formulae, flow diagrams and functions in Term 2; algebraic expressions and equations are part of the full CAPS curriculum and appear in many school papers. It comes up in the Grade 7 maths Term 2 test, and again in the final Term 4 exam, which covers all four terms.
Where can my child practise Grade 7 algebra for free?
On MathTests.co.za: the free Grade 7 algebra test draws questions from these topics with fresh numbers every time, and shows the working after every answer. No sign-up.