Ratios and Rates
Proportions
Linear Relationships
Graphs/Tables/Equations
Solving Equations
100
If John planted 24 carnations and 3 roses in his garden, what is the rose-to-carnation ratio of his garden?
1:8
100
By state law, the student-teacher ratio in grade 1 cannot exceed 22 to 1. If Hale Elementary has 83 first grade students, what is the minimum number of first grade teachers they must hire?
4 teachers
100
Is the relationship described below linear? Explain how you know. (Must be correct in both to count.) y = 2x + 7
yes! slope is 2 (every time x increases 1, y increases 2)
100
Create a table of data from this equation (must use at least 4 "x" values): y = 2x + 5
*Teacher will check student work for accuracy*
100
Solve the equation 3x = 90
x = 30
200
A jeans factory estimates that 5% of the jeans they produce are defective. If in a week, they produce 1,000 pairs of jeans, approximately how many defective jeans do they produce that week?
50 pairs of jeans
200
Linda types 60 words per minute. How many words will she type in 5 minutes?
300 words
200
Is the relationship described below linear? Explain how you know. (Must be correct in both to count.) y = -3x +.5
Yes! Slope is -3 (every time x increases 1, y decreases 3)
200
Does the following table represent the equation y = 5x-12 ? (must explain why or why not) x y 0 5 1 -7 2 -2 3 3
NO! (0,5) is not a solution (0,-12) would be
200
Solve the equation x - 13 = 40
53
300
If 12 of Jan's 50 bows are pink, what percent of her bows are not pink?
76%
300
Each morning, the cook at a boys club prepares pancakes for a total of 96 boys. He prepares enough so that each camper can have 3 pancakes. How many dozen pancakes does he prepare each day?
24 dozen
300
Is the relationship described below linear? Explain how you know. (Must be correct in both to count.) x y 0 9 1 12 2 15 3 18
Yes! Slope is 3 (each time x increases 1, y increases 3)
300
Does the following table represent the equation y = -3x + 2 ? (must explain why or why not) x y 0 2 2 -4 5 -13 9 -25
Yes! -3*0+2 = 2 -3*2+2 = -4 -3*5+2 = -13 -3*9+2 = -25
300
Solve the equation 4x + 9 = 21
3
400
Maria has 2 red shirts and 3 blue shirts. What percent of her shirts are red?
40%
400
What proportion would you create to solve the following question? Angela needs help on 5% of her homework. If there are 20 questions, on how many questions does she need help?
5/100 = x/20
400
Is the relationship described below linear? Explain how you know. (Must be correct in both to count.) x y 0 5 1 2 2 -1 3 -3
No! There is no steady rate of change (x increases by 1 each time, but y decreases 3, then decreases 2)
400
Sketch a graph of the equation y = 2x + 4
*Teacher will verify student answer for accuracy*
400
Solve the equation 7x - 5 = 37
x = 6
500
John likes Maribel, and always notices how she wears her hair. Maribel wore her hair in a braid 3 days, which was 15% of the days that he saw her. How many days has John been "eyeing" Maribel?
20 days
500
The total price for the clothes Julie is buying is $28. Since tax is 7.5%, how much tax will she pay?
$2.10
500
Is the relationship described below linear? Explain how you know. (Must be correct in both to count.) x y 0 12 2 8 3 6 6 0
Yes! Slope is -2 (every time x increases 1, y decreases 2) (rates of change are -4/2, -2/1, -6/3)
500
Write an equation to represent the relationships shown in the following table. x y -4 -40 0 -12 3 9 4 16
y = 7x - 12
500
Solve the equation -2x + 8 = -12
x = 10