Variables, Numerical Coefficient and Constants
Graphs
Equations
Word Problems
Linear Relations
100
In 3x - 893, what is the variable, numerical coefficient and constant?
x = variable, 3 = numerical coefficient, -893 = constant
100
In the ordered pair (3,5), what is the number you would put on the x-axis?
3
100
y = 3x + 45 and x = 4. What is y?
57
100
Estimate a value beyond it's given set of values.
Extrapolate
100
The coordinates of a graph are as follows: 2,2, 4,4 6,6 8,8. Is this a linear relation?
Yes
200
6x = 36. What is the value of x?
6
200
Which quadrant is (-10,7) in?
Quadrant II (2)
200
A statement that two mathematical expressions are equal and have the same value.
Equation
200
Halley's comet appears approximately every 76 years, since the year 1758. What year will it be when it appears for the 3rd time, including the sighting?
1910
200
(22,55), (88,165), (166,205), (44,110). Is this a linear relation?
No
300
x = 9. Solve 9x-76+6.
11
300
Write the 5 coordinates shown below. 
(1,10) (2,20) (3,30) (4,40) (5,50)
300
A school pays $75 to design a new logo. It costs an additional $25 to make each jersey with this new logo. What is the linear relationship described here?
y = 25x + 75
300
A school pays $125 to design gym T-shirts. It costs an additional $25 to make each T-shirt. How much would it cost to make 25 T-shirts?
$750
300
A relation that appears as a straight line when graphed.
Linear relation
400
If X = 122 and Y=153, what is 3x + 4y?
978
400
Sarah bought a car in 2019 for $24,000. By 2024, its value was $19,700. Describe how the value of x and y changed.
x = year (increased by 5), y = value (decreased by $4300)
400
If x = 50, solve 50x. What is y?
2500
400
A landscaper is planting elm trees along a street in a new subdivision. If elm trees need to be spaced 4 meters apart, then how long is a row of 98 elm trees?
392 meters
400
An equation whose graph is a straight line.
Linear equation
500
Create an equation where x = variable, 12 = constant, and 154 = numerical coefficient.
154x - 12 (or 154x + 12)
500
In the relationship y = 2x + 3 , what would the value of x be if y = 21?
9
500
If 78y = 3x, then what is x? Your answer can include a variable.
x = 26y
500
Janice left the school at 12 noon riding her bike at 20km/h. Flora left school at 12:30 riding her bike at 24km/h. What distance would each girl reach after 5 hours of riding?
Janice = 100 km. Flora = 120 km.
500
X = 1, 2, 3, 4, 5. Y = 3, 6, 9, 12, 15. What is the linear relationship?
y = 3x