Equations and Expressions
Write the following as an algebraic expression:
7 less than 3 times a number
What is 3n - 7?
On a bicycle Jack can travel 20 miles in 4 hours. What are the unit ratios in this situation?
Hint: There are two unit ratios
What is 5 miles in 1 hour and 1 mile in .2 hours?
45 is what percent of 90?
What is 50%?
Write the formula for the area of a triangle.
What is A=b x h / 2?
What is the distance between (– 5, 2) and (– 9, 2)?
What is 4 units?
Use the distributive property to write an equivalent expression for 30𝑥 + 18𝑦.
What is 6(5x+3y)?
The drama club is painting orange panels to create sets for the school play. They are using a mixture with a ratio of 3 cups of yellow to 5 cups of red per panel. If they plan to paint 8 panels, how many cups of red and yellow paint will they need so that all the panels are the same shade of orange?
What is 40 cups of red and 24 cups of yellow?
30% of the students in Mrs. B’s class are boys. There are 30 students total in the class. How many students are girls?
A. 9 B. 21 C. 10 D. 20
What is B, 21 girls?
In a coordinate plane, a quadrilateral has vertices (–2, 3), (–1, 7), (2, 7), and (0, 3). What is the area of the quadrilateral?
What is 10 units?
A recipe requires 1/4 lb of onions to make 3 servings of soup. Mark has 1 1/2 lbs of onions. How many servings can Mark make?
What is 18 servings?
Write an equivalent expression for 3(𝑥 + 4) + 2(𝑥 − 2) that has only two terms.
What is 5x + 8?
A recipe for cheesecake mixes 3 cups of sugar with 12 ounces of cream cheese. How many ounces of cream cheese is needed for 8 cups of sugar?
What is 32 ounces of cream cheese?
Most dogs fail to become service dogs. In a recent training class, only 7 of the 15 dogs were certified as service dogs. Approximately, what percent of dogs became certified service dogs?
What is 47%?
Find the area of the trapezoid shown.
What is 30 units2?
One morning the temperature is −28℉ in Anchorage, Alaska, and 65℉ in Miami, Florida. How many degrees warmer was it in Miami than in Anchorage on that morning?
What is 93 degrees?
Four high school students are working on a Math 1 problem to find the solution to (2𝑥 − 3)2 = 121 Each student got a different answer. The four answers were 5, 6, 7, and 9.
Which of these numbers make the equation true?
What is 7?
Toy Factory X can produce 98 toys per hour. Toy Factory Y, across town, can now produce 100 toys per hour. After 6 hours, how many more toys will Toy Factory Y have produced than Toy Factory X?
What is 12 toys?
If 44% of the students in Mrs. Rutherford’s class like chocolate ice cream, then how many students are in Mrs. Rutherford’s class if 11 like chocolate ice cream?
What is 25 students?
The base area of a rectangular baking pan is 80 3/4 square inches. The width of the baking pan is 8 1/2 inches. What is the length of the pan, in inches?
What is 9 1/2 inches?
A group of 32 students have raised money to help pay for a field trip to the Outer Banks Research Park. The trip will cost $3,200 and they have raised $2,156. The students have to pay for the remaining cost of the trip. How much will each student have to pay?
What is $32.63?
Simplify.
142 - (5-3)2 + (6-2)2
What is 208?
You are heading to a restaurant 20 miles from your house to visit with friends. The subway can travel 8 miles in 10 minutes. A taxi can travel 5 miles in 4 minutes.
Which mode of transportation should you take to get you to the restaurant the fastest?
What is the taxi?
In a class of 40 students, 14 students are wearing glasses. What percent of the class is wearing glasses?
What is 35%?
The net of a right rectangular prism is shown.
What is the surface area of the prism?
What is 40m2?
The point (2.1, −3.5) is reflected over the x-axis, what is the coordinate of that point of reflection?
What is (2.1, 3.5)?