March MATHness Grade 7 Week 3a

Select all tables that represent a proportional relationship between x and y.

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The graph shows the relationship between the distance (d) covered by Jason and the time (t) it took him to cover the distance. Find the constant of proportionality (p). Using the value of p, write the equation in the form d = pt.

Stephen rewrote the expression 0.5(3 – 2.3x + 5.2). His steps are shown. Which statement identifies and explains the first mistake Stephen made?

• His first mistake was in Step 2. He multiplied 0.5 and 3. He should have added 0.5 to the other terms.

• His first mistake was in Step 2. He should have added 0.5 to all 3 terms instead of multiplying 0.5 to 3.

• His first mistake was in Step 2. He only multiplied 0.5 to 3. He should have multiplied 0.5 to all 3 terms.

• His first mistake was in Step 3. When reordering the terms, 5.2 should be negative and 2.3x positive.

Three game tickets and four ride tickets cost $39. Five ride tickets cost $15. All game tickets cost the same and all ride tickets cost the same. What is the ratio of the cost of a game ticket to the cost of a ride ticket?

•  1:3

• 3:1

• 16:23

• 16:3

A family smoothie recipe calls for strawberry juice and apple juice. This equation represents the proportional relationship between the number of cups of strawberry juice (s) and apple juice (a) in the recipe.

s = 3a

Write the number of cups of strawberry juice used for each cup of apple juice.

Harry buys a wand for $12.50 plus 8% tax. Ron buys his sister a diary for $13 plus 8% tax. Write the sum, in dollars, that Harry and Ron paid, including tax.

Select all expressions equivalent to 20x – 30.      

• 5(4x – 6)

•  5 (4x – 25)

• 10 (2x – 30)

• 2(10x – 15)