Math Problem Review and Solutions | Exponents, Equations, Ratios, and more!

EOY Review

Question 1 - 10 • What is the prime factorization of 56 with exponents?

Answer 1 – 10 • 23 · 7

Question 1 - 20 • You place a 3-3/8 pound weight on the left side of a balance scale and a 1-3/5 pound weight on the right side. How much weight do you need to add to the right side to balance the scale?

Answer 1 – 20 • 1-31/40 pound weight

Question 1 - 30 • What is the value of the expression below? 15 – 4 + 9 (6 ÷ 2)

Answer 1 – 30 • 38

Question 1 - 40 • Which statements are false? Choose all that apply. A. │ – 7│ < │ – 10│ B. –0.23 > –0.59 C. –1.4 < –1 ½ D. │–5│ = │ 5│ E. – ¾ > -0.7

Answer 1 – 40 • C and E are false. –1.4 is GREATER than –1 ½ –1.4 > –1 ½ – ¾ is LESS than -0.7 – ¾ < -0.7

Question 1 - 50 • Hot dogs come in packs of 10, while buns come in packs of eight. What are the least numbers of packs you should buy in order to have the same number of hot dogs and buns?

Answer 1 – 50 • 4 packs of hot dogs and 5 packs of buns

Question 2 - 10 • How many faces, edges, and vertices does a hexagonal prism have?

Answer 2 – 10 • Faces 8 • Edges 18 • Vertices 12

Question 2 - 20 • What is the relationship between the area of a rectangle and the area of a triangle?

Answer 2 – 20 • The area of a triangle is half the area of a rectangle with the same base and height.

Question 2 - 30 • What is the area of the shaded region?

Answer 2 – 30 • 62 ft2

Question 2 - 40 • What is the surface area of the solid pictured below?

Answer 2 – 40 • 65 in2

Question 2 - 50 • What is the missing measure on the solid below if its volume is 18,000 cm3?

Answer 2 – 50 • 75 cm

Question 3 - 10 • Identify the term(s), coefficient(s), and constant(s) in the expression below. 12 + 4x + y + 5x2

Answer 3 – 10 • Terms 12, 4x, y, 5x2 • Coefficients 4, 1, 5 • Constant 12

Question 3 - 20 • Write the expression “5.2 · y · y · y · y” using exponents.

Answer 3 – 20 • 5.2y4

Question 3 - 30 • Write an expression for the phrase below. Then evaluate when x = 5 and y = 20. 6 less than the product of x and y

Answer 3 – 30 • xy – 6 • Answer 94

Question 3 - 40 • What is the equivalent expression for 12x + 20 after you factor out the GCF? 12x + 20

Answer 3 – 40 • 4(3x + 5)

Question 3 - 50 • Write an inequality for the situation below and graph its solution on a number line. Jenna will practice at most 30 minutes today.

Answer 3 – 50 • p ≤ 30 • 27 28 29 30 31 32 33

Question 4 - 10 • What is the only measure of center that can be found for categorical data?

Answer 4 – 10 • mode

Question 4 - 20 • The dot plot below shows lengths of racing boats measured in feet. What is the median length?

Answer 4 – 20 • 18 feet

Question 4 - 30 • The table shows the radii of 5 best known objects in the solar system. What is the mean with AND without the outlier?

Answer 4 – 30 • with the outlier 36,646.8 km • without the outlier 45,520.75 km

Question 4 - 40 • The table shows the ages of automobiles in a parking lot. The range of the ages is 12 years. What is the missing age?

Answer 4 – 40 • 13 years

Question 4 - 50 • The table below shows the points earned by the contestants in a competition. What is the IQR?

Answer 4 – 50 • 10 points

Question 5 - 10 • You and a friend make a total of 45 bird houses. Use the tape diagram to find how many bird houses you make.

Answer 5 – 10 • 15 birdhouses

Question 5 - 20 • Describe and correct the error made in the ratio table.

Answer 5 – 20 • 8 was subtracted from each instead of maintaining the 2 to 1 ratio.

Question 5 - 30 • A deli sells a sandwich spread for $6.40 per pound. How much do you have to pay for 24 ounces of the spread?

Answer 5 – 30 • $9.60

Question 5 - 40 • Describe and correct the error in finding 4% of 65.

Answer 5 – 40 • The student changed 4% to 0.4. It should be 0.04. • 0.04 x 65 = 2.6

Math Problem Review and Solutions | Exponents, Equations, Ratios, and more!