Understanding Variables & Expressions
Write an algebraic expression for “5 more than x.”
x + 5
Simplify: 2x+5x
7x
Solve: x+4=10
x = 6
Sarah has twice as many apples as Tom. If Tom has x apples, write an expression for the total apples.
What is the next term in the pattern: 3, 6, 9, 12, ...?
15
(Add 3 each time)
What does the expression 3x mean?
3 multiplied by x
Simplify: 4x+3−2x+7
2x + 10
Solve: 3x=15
x = 5
A rectangle has length l and width w. Write an expression for the perimeter.
2l + 2W
x 0 1 2 3 4
y 2 4 6 8 10
Write a rule in the form of y=mx + c
y = x + 2
Write an expression for “twice a number minus 4.”
Expand: 3(x+4)
3x + 12
Solve: 2x+1=9
x = 4
A number is multiplied by 3 and then 5 is subtracted. The result is 16. Find the number.
x = 7
x 0, 1, 2, 3, 4
y 1, 3, 5, 7, 9
Write a rule in the form y = mx + c
y = 2x + 1
If x=7, evaluate x+9?
16
Simplify: 2(x+3)+x
3x + 6
5x−4=3x+6
x = 5
John is 5 years older than his brother. The sum of their ages is 25. Find John’s age.
→ Let brother = x, so John = x+5
John = 15
What is Mr Rutherford's favourite movie?
Goodfellas
If a=3 and b=2, find the value of ab+b
8
4(x−2)−3(x+1)
x - 11
Solve: x/2+3=7
x = 8
Tickets cost x dollars each. 4 people spend $48 total. Find x.
x = 12
How long has Mr Rutherford been teaching for?
5 years