7th Grade Math EOG Prep ["You Do" Problems]

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem.

Which expression has the least value when y=50?

A. 5-y B. 5y C. 15-y D. 15y

• evaluating expressions

• solving equations

• substitute the value for y, then use PEMDAS

• solve for y using SADMEP

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. Subway makes sandwiches with a type of bread, meat, cheese, and a vegetable. Each sandwich either had white, rye, or garlic bread; ham or turkey as a meat; american, cheddar, or swiss cheese; and pickles, onion, peppers, or lettuce as a vegetable. Subway made an equal number of each type of sandwiches, which are placed on a table. Without looking, John will choose a sandwich. What are the chances that John will get a sandwich with garlic bread?

A. 1/2 B. 1/6 C. 1/3 D. 1/9

• simple theoretical probability

• sample space & compound probability

• specified outcomes / total outcomes

• draw the sample space, then write a fraction: the number of check marks or circles marking the specified outcomes over(/) the total number of outcomes (number of outcomes in the last row)

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. A 5-lb pound of potatoes costs $2.95, and an 10-lb bag of the same type of potatoes costs $4.90. Lauren found the unit price, which is the constant of proportionality between cost and weight, for each bag of potatoes. What is the difference in the unit prices?

A. $0.01 per pound B. $0.10 per pound

C. $0.34 per pound D. $1.08 per pound

• unit rate/constant of proportionality

• divide to find the unit rate/COP for each bag of potatoes, then subtract

• scale

• set up a proportion, then solve for the unknown

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. The scores that Jack and Jill received on their first four assignments are shown in this table. Which statement is true?

A. Jill’s median score is higher than Jack’s median score.

B. Jill’s median score is lower than Jack’s median score.

C. Jill’s median score is the same as Jack’s median score. D. The median scores cannot be determined.

• mean

• median

• add each list of scores and divide by 5, then compare

• order each list of scores from least to greatest, then find the middle number and compare

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. Which expression is equivalent to 1/3(3p + 9)?

A. p+6 B. p+3 C. 6p+12 D. 9p+27

• simplifying expressions

• solving equations

• substitute the value in for p, and simplify

• distribute to simplify

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. Carl’s weekly earnings were proportional to the number of hours he worked. This table shows the number of hours Carl worked and the amount he earned. How much money did Carl earn per hour?

A. $75.39 B. $30.16 C. $43.98 D. $25.13

• unit rate/constant of proportionality

• divide earnings ($) by hours

• proportional relationship

• divide hours by earnings ($)

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. Which expression is equivalent to 5a - (3a + 2) + 9?

A. 2a + 7 B. 8a + 7 C. 2a + 11 D. D. 8a + 11

• solving equations

• simplifying expressions

• use SADMEP to solve for a

• KCS, distribute, combine like terms (like terms table)

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. This table shows the relationship between h and e. Which equation models this relationship?

A. e = 0.028h B. e = 28h C. e = 0.28h D. e = 2.8h

• unit rate/constant of proportionality

• proportional relationship

• divide h by e, then write the equation e = kh where k = unit rate/COP

• divide e by h, then write the equation e = kh where k = unit rate/COP

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. Which expression is equivalent to 3(2 - b) - 9 + 12b?

A. 9b + 3 B. 9b - 3 C. 11b + 3 D. 11b - 3

• simplifying expressions

• solving equations

• KCS, distribute, combine like terms (like terms table)

• solve for b using SADMEP

Select TWO answers. Identify the type of problem and the formula/steps you would use to solve the problem. Mrs. Laura pays $21,366 a year for rent. Her rent is a constant amount each month. Which equation represents the amount she pays per month if m = months and c = total rent paid for the year?

A. m / 1,780.5 = c B. m + 1,780.5 = c

C. 1,780.5c = m D. 1,780.5m = c

• scale

• divide amount earned per year by 12 months, then write the equation kc = m where k is the unit rate/COP

• divide amount earned per year by 12 months, then write the equation km = c where k is the unit rate/COP

• unit rate/constant of proportionality