Help please i’ll give 55 points

1. 100 - 12y = 16

2. b * (15 + 37) = 156

3. 27 + 12z = 87

4. 135/(5c) = 3

5. w^2 * (12/4) = 300

6. 12d / (25-19) = 4

7. 5x + 13 = 68

Step-by-step explanation:

1.

The product of y and 12 is "12y", so the difference of 100 and this product is "100 - 12y". The value of y is 7, so we have:

100 - 12*7 = 100 - 84 = 16

2.

The sum of 15 and 37 is "15 + 37", and b times this sum is "b * (15 + 37)"

b is equal to 3, so we have:

3 * (15 + 37) = 3 * 52 = 156

3.

The product of z and 12 is "12z", so 27 added to this product is "27 + 12z". The value of z is 5, so we have:

27 + 12*5 = 27 + 60 = 87

4.

The product of c and 5 is "5c", so 135 divided by this product is "135/(5c)". The value of c is 9, so we have:

135/(5*9) = 135 / 45 = 3

5.

The quotient of 12 and 4 is "12/4", so w to the second power times this quotient is "w^2 * (12/4)"

The value of w is 10, so we have:

10^2 * (12/4) = 100 * 3 = 300

6.

The difference of 25 and 19 is "25 - 19", so 12 times d divided by this difference is "12 * d / (25-19)"

The value of d is 2, so we have:

12 * 2 / (25-19) = 24 / 6 = 4

7.

The product of x and 5 is "5x", so this product added to 13 is "5x + 13"

The value of x is 11, so we have:

5*11 + 13 = 55 + 13 = 68

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.

step-by-step explanation:

ratios represent a pattern or relationship that can be scaled.

equivalent ratios are pairs of ratios that represent the same relationship between quantities, and can be generated by multiplying or dividing both quantities in the ratio by the same factor.

in this lesson, students will use double number lines and ratio reasoning to solve ratio problems. by partitioning double number lines into proportionate intervals, students will build an understanding of equivalent ratio relationships as those that are generated by multiplying or dividing two related quantities by the same number. this lesson will build upon students' prior understanding of multiplicative comparisons, number line reasoning and equivalent fractions (while highlighting the difference between equivalent fractions and equivalent ratios); and will build toward future work in this unit on building ratio tables, and work in future grades in proportionality, scaling, and expressing and graphing linear functions.