Vocabulary
A math problem that has no equal sign.
What is an Expression
A truck is travelling at 50 km/h. Write an algebraic expression to show how far it travels in h hours.
Solve the expression to find out how far it travels in 7 hours.
Expression: 50h
Solved:
= 50(7)
= 350km
Name the 'like terms' in the expression below:
6x - 12x + 5y + 2x - 4y
6x, 12x and 2x
5y and 4y
Solve: k / 8 = 24
k = 192
The letters that are used in expressions and equations.
What is a Variable?
It costs $125 to rent a car for one day in New York City. Aaron's family is going on a vacation there. Write an expression to represent the cost of renting a car for c number of days. Solve your expression to find
the cost of renting a car for 8 days.
Expression: 125c
To rent for 8 days:
= 125(8)
= 1000
Simplify 4b - 2b + 5 - 1
2b + 4
Solve: 6y = 36
y = 6
A number that stands alone in expressions and equations, without a variable.
What is a Constant?
A field trip costs $11 per student and $2 for a snack. Write an expression to determine the total cost. Solve your expression for 15 students and 13 snacks.
Expression: 11x + 2x
Solved:
= 11(15) + 2(13)
= 165 + 26
= 191
Evaluate: 2x + 8x - 2, when x = 3
28
Solve: 45 / d = 5
d = 9
"Sum," "Added to," and "Plus" indicate what operation?
What is Addition?
A bakery sold 240 muffins on a Saturday. If 96 of the muffins were blueberry-flavoured, how many muffins were sold that were not blueberry-flavoured?
Write an equation to represent this situation, then solve it to find the answer.
96 + n = 240 OR 240 - 96 = n
Solved:
n = 144
Evaluate: 2(8r - 6) + 18r - 2 when r = 4
122
Solve: 7a + 2 = 51
a = 7
A number in front of a variable.
What is a Coefficiant?
At his stand, Toby sells lemonade for $2 and iced tea for $3. To show his earnings, he uses the following algebraic expression:
Total Sales = 2b + 3d
b = number of Lemonade sold
d = number of Iced Tea sold
Use Toby’s expression to find his total sales when he sells 17 glasses of lemonade and 14 glasses of iced tea.
Solved:
= 2(17) + 3(14)
= 34 + 42
= $76
Evaluate: 3n2 + 4 x 2n - 6 when n = 5
3944
Solve: 0.5f + 4 = 7
f = 6