Algebra and Graphs Practice Questions

Simplify 3x + 2y - x + 5y

Solve 3x - 7 = 14

Expand 2(3x - 4)

Find the value of 2x² - 5 when x = 3

Factorise 6x + 15

Write an expression for the perimeter of a rectangle with sides x and x+3

Solve x/3 + 2 = 5

Make x the subject of y = 3x + 7

If f(x) = 2x + 1, find f(3)

If f(x) = x² - 4, find f(-2)

If f(x) = 3x - 5, solve f(x) = 10

If g(x) = x + 3, find g(0)

If f(x) = 10 - 2x, find f(5)

If f(x) = 2x + 1, find x when f(x) = 9

If f(x) = x/2 + 3, find f(8)

Complete the table for f(x)=x²-1: x=-2,-1,0,1,2

Find the next 2 terms of 3, 7, 11, 15, ...

Find the nth term of 5, 8, 11, 14, ...

Find the 10th term if nth = 3n - 1

Describe the rule for 2, 4, 8, 16, ...

Generate the first 4 terms of nth = n² + 1

Find the next term in 1, 3, 6, 10, ...

Find the nth term of 1, 4, 9, 16, ...

A pattern has 3 tiles in step 1, 5 in step 2, 7 in step 3. How many in step 10?

Solve 2x + 3 > 11

Show x ≥ -2 on a number line

List the integers for -3 < x ≤ 2

Solve 5 - x < 8

Solve 3x + 1 ≤ 16

Write the inequality shown on a number line: open circle at 1, closed at 5, line between

Solve 2(x - 1) > 6

Find the largest integer satisfying x < 3.7

From a straight line graph, the line goes through (0,2) and (4,10). What is the gradient?

Is the graph y = x² increasing or decreasing at x = 3?

Complete: y = x² for x = -2,-1,0,1,2

From the graph of y = x² - 4x, identify the turning point

Plot y = x² - 4x for x = -1 to 5

From a curve, estimate the gradient at x = 2 by drawing a tangent

Is the turning point of y = -x² + 6x - 5 a maximum or minimum?

Sketch a graph with a minimum at (3, -2)