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Variable Substitution Practice
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Variable Substitution Practice
Replace each variable with its given value, then calculate. Show your working where space is provided.
Substitute and calculate
1.When x = 6, evaluate x + 9.
2.When y = 5, calculate 4y − 3.
3.If a = 7, what is 3a + 2?
4.Evaluate m² − 4 when m = 6.
5.If n = 8, calculate 19 − n.
Variables in everyday situations
6.A scooter has 2 wheels. Let w be the number of wheels on one scooter. Find 3w + 4 for three scooters and four spare wheels.
7.Mere sleeps for 9 hours in a 24-hour day. If h = 9, evaluate 24 − h to find the hours she is awake.
8.A movie ticket costs $12. Let p = 12 dollars. Calculate 2p + 5, including a $5 booking fee.
Values and patterns
x
Substitution
3x + 2
2
4
6
9.For the table above, how much does the value of 3x + 2 increase each time x goes up by 2?
Use the formula
10.The area of a rectangle is A = lw. Find A when l = 9 cm and w = 4 cm.
11.A rectangle has perimeter P = 2l + 2w. Calculate P when l = 9 cm and w = 4 cm.
12.Distance is calculated using d = vt. Find the distance travelled at 72 km/h for 1.5 hours.
Understanding variables
13.Which statement best describes a variable in an algebraic expression?
- A symbol that stands for a number
- A sign that always means addition
- A number that cannot change
- A calculation with no numbers
14.In the expression 5k + 1, what is most likely to happen to the result if k changes?
- The result will usually change
- The result must stay the same
- The expression stops being algebra
- The 5 changes into k
15.Explain what you do when you substitute a number for a variable in an expression.
Challenge
16.Match each expression to its value when x = 5.
- x + 7
- 2x
- x² − 3
- 30 ÷ x
- 22
- 6
- 10
- 12
17.The temperature is t = 8°C in the morning. Evaluate 3t − 5 to find the value of the expression at that temperature.
3 printable pages
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