6th-Ratios, Rates & Percent
6th-Generating Equivalent Expressions
7th- Ratios, Rates, & Percent
7th Challenge
8th - Expressions, Slopes
8th Challenge
100
Write an expression:
5 more than a number x
x + 5
100
Simplify:
2x + 5 + 3x
5x + 5
100
This ratio is equivalent to 3 : 5 — what is 9 : ?
A. 10
B. 12
C. 15
D. 18
Answer: C. 15
100
2. Li put $75 into his savings account. The money was 1/3 of his paycheck. Which equation could be used to find the amount of money, p, in dollars, on his paycheck?
1/3 p = 75
100
This is the y intercept of the equation y=1/3 x - 4.
Answer: -4
200
Write an expression:
3 less than twice a number x
3 - 2x
200
Rewrite using distributive property:
3(x + 4)
3x + 12
200
A car travels 120 miles in 3 hours at a constant speed. How far will it travel in 5 hours? Which expression could be used to solve the problem?
120/3 *5
200
Find the area of a circle with radius 7 cm (use 3.14 for π).
Answer: 153.86 cm²
200
Jamal wants to rotate the triangle ABC 180 degrees about the origin. The coordinates of point A are (4,-8). What are the coordinates of A', which is formed by the rotation?
Answer: (-4, 8)
300
A number is divided by 2, then increased by 7
x/(2)+7
300
A student says:
4(x + 6) = 4x + 6
Is this correct? Explain.
No, it should be 4x + 24
300
Arie has a bag with 15 yellow marbles, 13 blue marbles, and 22 red marbles. She randomly selects 10 marbles from the bag. Which TWO statements are most likely to be true?
A. She will draw all red marbles.
B. She will draw more blue marbles than red marbles.
C. She will draw more red marbles than yellow marbles.
D. She will draw about the same number of yellow and blue marbles.
E. She will draw more red marbles than yellow and blue marbles combined.
C & D
300
3. A bag has 3 red, 2 blue, and 5 green marbles. What is the probability of picking a blue marble?
ANSWER: 2/10 or 1/5
300
How many solutions does the system of equations have: y=1/2 x+5 and y=1/2 x -5?
Answer: no solutions
400
A store sells t tickets for $8 each
Write an expression for total cost
8t
400
Create an expression equivalent to:
2(x + 5) + 3
2x + 13 (or any equivalent)
400
3. A $50 jacket is on sale for 20% off. What is the sale price?
Answer: $40
400
A store is offering a 30% discount on shirts. A shirt at the store has an original cost of $25. What is the cost of the shirt, in dollars, after the discount?
ANSWER: $17.50
400
Solve the equation 4x-2(x-3)=12-4x.
A: x=4,
B: x=3/2,
C: x=-6,
D: x=1
Answer: D: x=1
500
A gym charges $10 plus $5 per visit
Write an expression and find cost for 4 visits
Expression: 10 + 5x
$10 + $5(4) = $30
500
Factor this expression:
20x + 28
4(5x + 7)
500
Charlie is charging his tablet. The graph shows how long it takes for his tablet to charge. What does the ordered pair (5, 25) represent on the graph?
ANSWER: After 5 minutes, the tablet is 25% charged.
500
2. A graph of Danny’s driving distance overtime is shown. Describes Danny’s driving speed?
ANSWER: Danny’s driving distance is 80 kilometers per hour
500
Amari is having a cookie sale for a school fundraiser. At the end of the second day, there are 40 cookies left. The fifth day, there are 10 cookies left. Write an equation for the situation in slope intercept form where x is the numbder of days and y is the number of cookies left. Tell what the slope of the equation is and explain the meaning of the slope in the context of the problem.
ANSWER: y=-10x+60, slope of -10, which represents that there are 10 less cookies each day, or 10 cookies are sold each day.
500
Aniya is reading a book. On day one, she is on page 40. Each day, she reads 20 pages. Naomi is also reading the book. On day one, she is on page 30. She reads 20 pages each day. Write a system of equations to represent the situation, where days is x and pages is y. Will Jamal and Naomi ever be on the same page of the book on the same day? Explain your answer.
Answer: y=20x+40 and y=20x+30, No, they will never be on the same page. The system of equations has no solutions because the slopes are the same and the y intercepts are different.