Relations
Terms
Expressions
Graphing
Word Problems
100
A number multiplied by five.
5x
100
What do you call the number in front of the variable?
eg. 5x
Numerical coefficient
100
Solve for x - 3 = y when x equates to 7.
(7) - 3 = 4
100
When graphing an expression what are the first steps you need to do to your graph.
Label the x and y-axes and label the origin point 0.
100
Annika biked 37 km this morning and another x km in the evening.
How many kilometres did Annika bike today?
Write your answer as an expression.
37 + x
200
Eleven minus a number.
11-x
200
What do you call the number that comes after a variable?
eg. x - 3
Constant
200
Write the expression for this pattern:
input = figure #, output = # of squares
Figure 1: 4 squares
Figure 2: 5 squares
Figure 3: 6 squares
Figure 4: 7 squares
Figure 5: 8 squares
4 + n -1 OR n + 3
200
Define: Ordered Pair
The input and output numbers in an algebraic expression (represented as the x and y variables/coordinates).
200
The expression 1.5t + 20 predicts the height in centimetres of a plant t days from today.
What is the predicted height of the plant 5 days from today?
1.5(5) + 20
7.5 + 20
27.5 centimeters
300
A number minus eleven.
x - 11
300
what do x, pi, and A (area) all have in common?
They are variables
300
Identify the decreasing pattern. (count the number of squares)
Bottom right sequence (-4)
Figure 1: 12
Figure 2: 8
Figure 3: 4
300
Label the ordered pairs for this graph.
(1,30)
(2,60)
(3,90)
(4,120)
300
Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w where h is the number of hours worked and w is the number of wagons sold.
What is the amount paid to an employee that works 6 hours and sells 3 wagons?
12h + 30w
12(6) + 30 (3)
72 + 90
162
400
A number increased by 3 multiplied by two.
2(x+3)
400
When solving algebraic expressions what 6 letter word should you use to remember the order of operations?
BEDMAS
400
Solve for 4n + 6 when n = 3, 8, and 9.
4(3) + 6 = 18
4(8) + 6 = 38
4(9) + 6 = 42
400
How many gallons of water will remain at 3.5 hours
1.5 gallons will remain at 3.5 hours.
400
Daniel gets a paycheck every 4 weeks. He works x hours each week.
How many hours does Daniel get paid for on each paycheck?
Write your answer as an expression.
Hour 1: 4 x 1
Hour 2: 4 x 2
4x
500
Seven minus a number divided by 3.
(7-x)/3
500
Identify all terms in this algebraic expression
4n + 6
4 - numerical coefficient
n - variable
+ - operator
6 - constant
500
Figure 1: 2
Figure 2: 5
Figure 3: 10
n^2 + 1
500
Mr. Loewen is going on a trip across B.C. His car needs to be filled every 120 km. He plans to travel 600 km to get to his destination.
How many times would Mr. Loewen have to fill his car in order to get to his destination?
Create a graph to show the relation.
120n = 600
n = 600/120
n = 5
500
Eva and Jamir like to bake cookies. Eva baked 24 chocolate chip cookies, and Jamir baked p peanut butter cookies. Together they baked a total of 56 cookies.
Write an equation to describe this situation.
How many cookies did Jamir bake?
24 + p = 56
p = 56 - 24
p = 32