The Coordinate Plane
Distance
Independent and Dependent
Writing Equations
Random
Expressions and Equations
100
What is the coordinate of Point E?
(5, 2)
100
What's the distance between A and B?
6
100
Which is the independent and dependent variable:
James drives m miles and uses g gallons of gasoline.
I: miles
D: gallons
100
Suzy Q buys a apples for $3 each. How much m money does she spend?
Write an equation to represent this situation.
m = 3a
100
-36.6 + 54.35
17.75
100
Evaluate 3n + 4 when n =17.8
57.4
200
What is the distance between A and B?
8 units
200
Find the distance between the points (3, 5) and (3, -4).
9 units
200
Which axis on a coordinate plane do we plot the independent variable on?
x-axis
200
Bobby's house is at (-5, 40). The school is at (6, 40). The park is at (-5, -9). How many units away from the park is Bobby's house?
49 units
200
The ratio of 6th graders to 7th graders in a MATHCOUNTS club is 5:4. The ratio of 8th graders to 7th graders in the same club is 3:2. If there are 18 8th graders in the club, how many 6th graders are in the club?
15
200
How would you simplify the expression below?
2(x + 6)
2x+12
300
What quadrant is Point B in?
III
300
A(-4, 3)
B(4, 3)
C(4, -2)
D(-4, -2)
Find the distance of line segment CD
8 units
300
Which is the dependent variable?
Height
300
Write an equation to represent the following situation: Sammy went to the fair, it cost her $3 to enter and $1.50 for each ride she went on.
y = 1.50 + 3
300
Sara’s secret number is a positive two-digit integer that is a factor of both 210 and 231 and is a multiple of 7. What is Sara’s secret number?
21
300
A student scored 18 out of 24 on a test. Set up a proportion to find the percent and solve.
75%
400
Which quadrant of the coordinate plane includes the origin?
Neither.
400
Find the area of a rectangle with the following coordinates:
(-2, 5) (-8, 5) (-8, -4) (-2, -4)
54
400
What is something that would be the dependent variable if the independent variable is hours of studying.
GETTING A GOOD GRADE
(answers will vary)
400
Cheryl has $30 initially. She saves an additional $5 each week. She wants to buy a new pair of running shoes that cost $75, how long will it take her to save enough money to buy those shoes?
9 weeks
400
The number of silly bands Kera has is double the number of Hexbugs Jackson has. The number of Hexbugs Jackson has is 20% of the number of apps Emeril has on his phone. If Kera has 26 silly bands, how many apps does Emeril have on his phone?
65
400
Simplify the expression.
3x + 7y + 5x - 15 + 25
8x + 7y +10
500
You are graphing rectangle ABCD in a coordinate plane. Three of the vertices of the rectangle are A (-10, 4), B (5, 4) , and C (5, 12). Determine the coordinates of point D.
(-10, 12)
500
Find the distance between point A (-2, 5) and point B (4, 5).
If line segment AB is one side of square ABCD, what is the area of the square?
Distance: 6
Area: 36
500
You are doing chores to earn your allowance. For each chore you do, you earn $3.
What is the independent variable?
The independent variable is the amount of chores you do because this is the variable you have control over.
500
What is the formula for the area of a trapezoid?
A= 1/2(b1+b2)h
500
Right triangle WXY has side lengths of 6, 8 and 10 units. If the area of square ABCD is six times the area of triangle WXY, what is the side length of square ABCD?
12
500
Write an equivalent expression by factoring the following expression using the GCF:
48x + 60
12(4x + 5)