Equations
Modeling Quantities
Accuracy with Measurements
Absolute Value Equations
Rewriting Equations & Formulas
100

Santa has x gifts. He receives 7 more gifts from the elves, making his total 15 gifts. Solve for x

What is 8?

100

Emma and Benjamin are decorating a rectangular Christmas display in their front yard. The display's length l is exactly twice its width w. If the total perimeter of their Christmas display is 36 units, can you help Zoe figure out what the width w should be?

What is 6?

100

If Buddy the Elf wants to time how many presents he can wrap, which of the following measurements should he use?

miles            minutes          liters            inches

What are hours?

100

Solve for x: ∣x∣=9

What is 9 and -9?

100

Rewrite the literal equation for y. 2x + y = 7 

What is y=-2x + 7?

200

Solve for x: x/5=9

What is 45?

200

Jackson and Evelyn are on a Christmas road trip to visit family! Their car zooms along at a constant speed of 60 miles per hour. If they drive for 2.5 hours to reach their holiday destination, how many miles will they cover on their festive adventure?  

What is 150 miles?

200

Which of the following measurements is most precise?

3.2 cm          3.20 cm          3.200 cm           3 cm


 

What is 3.200 cm?

200

Solve for x: ∣x−4∣=7

What is 11 or -3?

200

Rewrite the literal equation for x. a = bx + cx + d 

What is x = (a - d)/(b + c)

300

Solve for x: 2x+3=11

What is 4?

300

Charlotte and Michael are baking Christmas cookies together! Their holiday recipe calls for 2.5 cups of flour. If they decide to make only half the batch so they can share with Priya later, how much flour do they need?

What is 1.25 cups?

300

Anika is measuring the length of her Christmas tree and records it as 4.56 m. Later, Maya checks and finds the true length is actually 4.60 m. What is the absolute error in Anika's measurement? What is the absolute error in Anika's measurement?

What is 0.04 m?

300

Solve for x: ∣2x∣=10

What is 5 or -5?

300

Rewrite the formula A=lw to solve for w.

What is w=A/l?

400

Solve for x: 2(x−3)=10

What is 8?

400

Emma bought 25 notebooks for a club, and after using 20 of them, she has 18 left. How many notebooks did Emma originally have?

What is 13?

400

Emma is measuring the length of a candy cane she wants to hang on her Christmas tree and records it as 5.678 cm. If she wants to round the measurement to the nearest tenth, what value should she write down?

What is 5.7 cm?

400

∣4n − 15 ∣ = ∣n ∣

What is 3 or 5?

400

Rewrite the formula C=2πr to solve for r.

What is r=C/2π

500

4x+7=3x+12

What is 5?

500

David has 4 times as many apples as x, but he gives away 3 apples. Mason has 2 times as many apples as x, and he receives 5 more apples. If both David and Mason end up with the same number of apples, solve for x.

What is 4?

500

Liam and Avery are planning to decorate a rectangular garden for Christmas that is 12.3 meters long and 8.7 meters wide. Can you help them figure out the area of the garden, rounded to the nearest whole number, so they know how much space they have for Christmas decorations?

What is 107 m2?

500

∣2c + 8 ∣ = ∣10c|

What is -2/3 or 1?

500

Rewrite the formula P=2l+2w to solve for l.

What is l=(P-2w)/2?