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QUESTION IMAGE

directions: solve each problem, showing all work. then find the answer …

Question

directions: solve each problem, showing all work. then find the answer number on the coloring sheet and color it with the color given in the box. color the sand any color youd like.

mixed practice

1
find the sum of 14.8 and 9.97
color this answer purple

2
jamal plans to go on 8 hikes this summer, covering 116 miles. if the hikes are all equal in length, how many miles will he hike each time?
color this answer green

3
find the difference of 20,006 and 9,199.
color this answer light blue

4
find the product of 46 and 8.
color this answer yellow

5
find the quotient of 324 and 16.
color this answer orange

6
joe took his little sister to the park. joe is 3 more than three times his sisters age. if joe is 15, how old is his sister?
color this answer yellow

7
find \\(4^3\\).
color this answer orange

8
mr. rivera plans to drive 428 miles during a 4-day trip. if he drives an equal distance each day, how many miles will he drive each day?
color this answer pink

9
find the product of 9.2 and 5.6.
color this answer blue

10
find the gcf of 28 and 42.
color this answer purple

11
every 15 minutes, there are 20 ice cream cones sold at the ice cream parlor. at this rate, how many ice cream cones will be sold in 2 hours?
\\(\frac{15}{20} =
\frac{60}{x}\\)
color this answer pink

12
what is the value of x in the equation?
\\(x + 13 = 30\\)
color this answer green

13
find the value of x.
\\(\frac{3}{5} = \frac{x}{70}\\)
color this answer blue

14
marie bought sunscreen and beach towels. she bought 12 items total, buying 3 more towels than bottles of sunscreen. how many towels did she buy?
color this answer red

15
jim and his friend found 24 seashells at the beach. jim found twice as many shells as his friend. how many shells did his friend find?
color this answer green

Explanation:

Solve questions 1 to 5

Calculate basic arithmetic operations including decimal addition, division, subtraction, multiplication, and integer division.

  • Question 1: Find the sum of \(14.8\) and \(9.97\).
$$ 14.8 + 9.97 = 24.77 $$
  • Question 2: Divide \(11.6\) miles by \(8\) hikes.
$$ 11.6 \div 8 = 1.45 $$
  • Question 3: Find the difference of \(20,006\) and \(9,199\).
$$ 20,006 - 9,199 = 10,807 $$
  • Question 4: Find the product of \(46\) and \(8\).
$$ 46 \times 8 = 368 $$
  • Question 5: Find the quotient of \(324\) and \(16\).
$$ 324 \div 16 = 20.25 $$

Solve questions 6 to 10

Solve word problems, exponents, and number theory concepts.

  • Question 6: Joe's age is \(15\). Joe is \(3\) more than \(3\) times his sister's age \(s\).
$$ 3s + 3 = 15 \implies 3s = 12 \implies s = 4 $$
  • Question 7: Find \(4^3\).
$$ 4^3 = 4 \times 4 \times 4 = 64 $$
  • Question 8: Divide \(420\) miles by \(4\) days.
$$ 420 \div 4 = 105 $$
  • Question 9: Find the product of \(9.2\) and \(5.6\).
$$ 9.2 \times 5.6 = 51.52 $$
  • Question 10: Find the Greatest Common Factor (GCF) of \(28\) and \(42\).

Factors of \(28\): \(1, 2, 4, 7, 14, 28\). Factors of \(42\): \(1, 2, 3, 6, 7, 14, 21, 42\).

$$ \text{GCF}(28, 42) = 14 $$

Solve questions 11 to 15

Solve proportions, linear equations, and algebraic word problems.

  • Question 11: Solve the proportion \(\frac{15}{20} = \frac{60}{x}\).
$$ 15x = 1200 \implies x = 80 $$
  • Question 12: Solve \(x + 13 = 30\).
$$ x = 30 - 13 = 17 $$
  • Question 13: Solve \(\frac{3}{5} = \frac{x}{70}\).
$$ 5x = 210 \implies x = 42 $$
  • Question 14: Marie bought sunscreen and beach towels. She bought \(14\) items total. Buying \(8\) more towels than sunscreen. Let \(s\) be sunscreen and \(t = s + 8\) be towels.
$$ s + (s + 8) = 14 \implies 2s = 6 \implies s = 3 $$
  • Question 15: Jim and his friend found \(24\) seashells. Jim found twice as many as his friend. Let \(f\) be friend's shells and \(2f\) be Jim's shells.
$$ f + 2f = 24 \implies 3f = 24 \implies f = 8 $$

Jim found:

$$ 2 \times 8 = 16 $$

Answer:

No.ProblemAnswer
2Jamal plans to go on 8 hikes... covering 11.6 miles\(1.45\)
3Find the difference of \(20,006\) and \(9,199\)\(10,807\)
4Find the product of \(46\) and \(8\)\(368\)
5Find the quotient of \(324\) and \(16\)\(20.25\)
6Joe is 15. Joe is 3 more than 3 times his sister's age...\(4\)
7Find \(4^3\)\(64\)
8Mr. Rivera plans to drive 420 miles during a 4-day trip...\(105\)
9Find the product of \(9.2\) and \(5.6\)\(51.52\)
10Find the GCF of \(28\) and \(42\)\(14\)
11Solve \(\frac{15}{20} = \frac{60}{x}\)\(80\)
12What is the value of \(x\) in \(x + 13 = 30\)?\(17\)
13Find the value of \(x\) in \(\frac{3}{5} = \frac{x}{70}\)\(42\)
14Marie bought 14 items total, buying 8 more towels than sunscreen...\(3\)
15Jim and his friend found 24 seashells. Jim found twice as many...\(16\)