MOD 12 - Proportional Reasoning with Samples
If 3 apples cost $6, how much do 5 apples cost? Write and solve a proportion to find the cost of 5 apples.
3/6 = 5/x, x=10
What is 10?
Tom has $15 and wants to buy a toy that costs $8. Write and solve an inequality to find how much money he’ll have left if he buys it.
What is x − 8 ≤ 15, x ≤ 23?
The price of a notebook increased from $4 to $5. What is the percent increase?
What is 25%?
The temperature is 4°F and drops to -27°F. Write and evaluate a subtraction expression to determine the change in temperature.
What is -27 - 4 = -31?
A recipe uses 2 cups of rice to serve 5 people. How many cups of rice are needed to serve 8 people?
What is 3.2?
Solve the inequality: −4x ≥ 20
What is x ≤ −5?
A video game originally costs $60. It’s on sale for 25% off. What is the sale price?
What is $45?
Evaluate this expression: ⅝ + (-½) = ?
What is ⅛?
At a basketball game, 12 out of 20 fans were wearing team jerseys. If there are 45 fans in another section, how many of them would you expect to be wearing jerseys at the same rate?
What is 27?
Jenna has $20. She wants to buy some notebooks that cost $3 each and still have at least $5 left. Write and solve an inequality to find the maximum number of notebooks Jenna can buy.
What is x ≤ 5?
A family spends $75 at a restaurant. They leave a 20% tip. What is the total amount they paid including the tip?
What is $90?
Evaluate the expression: (-4.5 + 3) + (-2.25) = ?
What is -3.75?
In a survey, 18 out of 24 students said they liked math. If 40 students are surveyed in total, how many would you expect to say they like math, assuming the same ratio?
What is 30?
Solve the inequality: −3x + 7 ≥ 4x − 8
What is x ≤ 2.14?
Jade earns a 12% commission on each car she sells. If she sells a car for $18,000, how much money does she earn in commission?
What is $2,160?
Evaluate the expression: (15.2 + 3.8) − 9.6 − 4.7 = ?
What is 4.7?
A wildlife researcher tagged 12 deer in a forest. Later, they spotted a group of 30 deer and found that 3 of them were tagged. Based on this sample, what is the best estimate of the total deer population in the forest?
What is 120?
A school is selling tickets to a play. Each ticket costs $4.50. The school wants to earn at least $180 after paying a $30 setup fee. Write and solve an inequality to find the minimum number of tickets they need to sell.
What is 47?
Liam deposits $1,200 into a savings account that earns 3.5% simple interest per year. How much interest will he earn after 4 years?c
What is $168?
A submarine was 45.75 meters below sea level. It rose by 1.75 meters, then descended 3.4 meters, and finally rose again by 6.3 meters. Write and evaluate one expression to represent the submarine’s final position relative to sea level.
What is −45.75 + 1.75 − 3.4 + 6.3 = -41.1?