Algebra and Functions
Systems and Geometry
Numbers, Expressions, and Equations
Word Problems
Extra and Final
100
A line passes through the points (2, 5) and (6, 13).
What is the slope of the line?
Slope=
8/4 =2
100
Look at the system of equations.
Graph the equations. If a solution exists what is the solution?
2x-4y=8
4x-8y=24
The lines are parallel. There is no solution.
100
Which number is equivalent to
3.5*10^4
35,000
100
Lauren has 30 quarters and pennies. The coins are worth $5.34.
Write a system of equations.
How many quarters does she have?
How many pennies does she have?
x+y=30
.25x+.01y=5.34
She has 21 quarters.
She has 9 pennies.
100
What does “delulu is the solulu” mean?
Being a little delusional will help you succeed
200
Write the equation of the line in slope-intercept form that has a slope of 3 and passes through the point (0, −4).
y=3x-4
200
A cylinder has a radius of 3 units and a height of 5 units. What is the volume?
15pi, 30pi, 45pi, 90pi
45pi
200
Simplify:
(2^3)(2^5)
2^8
200
A ladder is leaning against a wall. The bottom of the ladder is 9 feet away from the base of the wall, and the ladder reaches 15 feet up the wall.
How long is the ladder?
Approximately 17.5 feet
200
What year did Mr. Kalafut move to Dalton?
2000
300
The graph below represents a system of equations, how many solutions does this system have?
Infinitely Many Solutions
300
Look at the system of equations.
Graph the equations. If a solution exists what is the solution?
2x+y=1
y=-2x-3
Parallel Lines. There is no solution
300
Which number is irrational?
sqrt49, sqrt36, sqrt 20, sqrt16
sqrt20
300
Jason has a total of 15 coins which are dimes and nickels. The coins are worth $1.10. How many dimes does he have.
x+y=15
.10x+.05y=1.10
Jason has 7 dimes.
300
Which scenario BEST represents a “sigma move”?
A. A student joins a trend because all their friends are doing it
B. A student quietly skips the hype and works on their own goals without posting about it
C. A student becomes popular by leading every trend at school
D. A student avoids everything and doesn’t participate in anything
E. A student copies a popular creator but adds their own twist
B. A student quietly skips the hype and works on their own goals without posting about it
400
Which of the following represents a function?
A. {(1, 2), (2, 3), (1, 5)}
B. {(3, 4), (5, 6), (7, 8)}
C. {(2, 1), (2, 3), (4, 5)}
D. {(6, 7), (8, 9), (6, 10)}
B. {(3, 4), (5, 6), (7, 8)}
400
A school is building a straight sidewalk across a rectangular field. The field is 30 meters long and 40 meters wide.
Instead of walking along the edges, students want to walk diagonally from one corner of the field to the opposite corner.
How long is the diagonal path across the field?
50 meters
400
Solve for x:
3x-7=2x+5
x=12
400
Ms. Wells bought some bananas for $0.40 per pound and some oranges for $0.80 per pound. Her fruit purchase cost $8.00 and weighed 11.75 pounds. How many pounds of bananas did she buy?
She bought 3.50 pounds of bananas.
x=bananas and y=oranges
x+y=11.75
.40x+.80y=8.00
400
If someone says “he’s him,” what are they saying?
He is confident and that guy (top tier)
500
The graph below represents a system of equations, how many solutions does this system have?
One Perpendicular Solution (5.2, -4.4)
500
Look at the system of equations.
Graph the equations. What is the y value of the solution.
y=2x-6
y=5x-21
y=4
(Bonus) x=5
500
Write the slope of a line that is parallel and then write the slope of a line that perpendicular to the following equation.
y=1/8x+17
Parallel
1/8
Perpendicular -8
500
Tickets to the 3-D showing of a certain movie cost $2.00 more than tickets to the regular showing. Oliver bought five regular tickets and four 3-D tickets, and the total cost was $89. The situation can be represented by a system of equations.
y=x+2
5x+4y=89
Which variable represents the regular ticket?
Which variable represents the 3-D ticket?
What is the cost of one ticket to the 3-D showing?
x=regular tickets
y=3-D tickets
The 3-D ticket cost $11
y=x+2
5x+4y=89
500
A rectangular park is 9 meters long and 12 meters wide. A walking path is built straight across the park from one corner to the opposite corner.
How much shorter is the diagonal path than walking along the two sides of the park?
Diagonal: 15 m
Side path: 9 + 12 = 21 m
Difference: 6 meters shorter (the diagonal is 6 meters less)