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Grade 7: Algebra: expressions, equations and functions

10 questions with solutions for grade 7: terms and expressions, simplifying and evaluating, formulae, linear equations, sequences of integers, linear functions and graphs.

Type the number or choose the right answer. When you finish, click Check answers and see the solutions.

1. Simplify: 3x + 5x − 2x

A. 10x

B. 6x³

C. 8x

D. 6x

Solution: (3 + 5 − 2)x = 6x.

2. What is 2a − 3 when a = 7?Enter a number only

Solution: 2 × 7 − 3 = 11.

3. Make a the subject of P = 2(a + b).

A. a = P − 2b

B. a = P/2 − b

C. a = 2P − b

D. a = P/2 + b

Solution: P/2 = a + b, a = P/2 − b.

4. Solve: 4x − 7 = 13Enter a number only

Solution: 4x = 20, x = 5.

5. Solve: 3(x + 2) = 21Enter a number only

Solution: x + 2 = 7, x = 5.

6. Solve: 5x + 3 = 2x + 21Enter a number only

Solution: 3x = 18, x = 6.

7. The next term: −8, −5, −2, 1, …Enter a number only

Solution: Each term is 3 more: 1 + 3 = 4.

8. f(x) = 3x − 1. What is f(4)?Enter a number only

Solution: 3 × 4 − 1 = 11.

9. The point (2, y) is on the graph of y = 2x + 3. What is y?Enter a number only

Solution: 2 × 2 + 3 = 7.

10. The graph of y = 4 is a line parallel to:

A. the y-axis

B. the line y = x

C. the x-axis

D. neither axis

Solution: the x-axis (every point has y = 4).

Grade 7

Operations with sets
Integers: adding and subtracting
Multiplying and dividing integers, powers and roots
Fractions and percentages
Decimals, ratio and proportion
Circles, segments and angles
Triangles and quadrilaterals
Coordinates, transformations and 3D shapes
Algebra: expressions, equations and functions
Measures: length, mass, capacity and time
Perimeter, area and volume
Data and probability

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Author: Dr Zenafer Bajmak, mentor teacher© 2015–2026 matura.mk