Sovi.AI - AI Math Tutor

Scan to solve math questions
ENFRDEESJAZH-CNZH-TW

QUESTION IMAGE

name: math blast #8 fact fluency 1) 7 + 5 = 2) 5×4 = 3) 45÷9 = 4) 13 - …

Question

name: math blast #8
fact fluency

  1. 7 + 5 = 2) 5×4 = 3) 45÷9 = 4) 13 - 4 =
  2. 8 + _ = 12 6) _ - 5 = 4 7) _×7 = 70 8) 40÷ _ = 5

area + perimeter
find the area and perimeter of each rectangle below.

  1. a = _ p = _
  2. a = _ p = _
  3. a = _ p = _
  4. a = _ p = _

word problems

  1. diana has $189 in her savings account. of her savings, $62 came from babysitting. the rest came from birthday presents. how much money did diana receive for her birthday?
  2. 35 photographs arrived in 5 envelopes. there are an equal number of photos in each envelope. how many photos are in each envelope?

Explanation:

Step1: Solve arithmetic operations

  1. \(7 + 5=12\)
  2. \(5\times4 = 20\)
  3. \(45\div9=5\)
  4. \(13 - 4=9\)
  5. Let the blank be \(x\), then \(8+x = 12\), so \(x=12 - 8=4\)
  6. Let the blank be \(y\), then \(y - 5=4\), so \(y=4 + 5=9\)
  7. Let the blank be \(z\), then \(z\times7=70\), so \(z=\frac{70}{7}=10\)
  8. Let the blank be \(w\), then \(40\div w=5\), so \(w=\frac{40}{5}=8\)

Step2: Calculate area and perimeter of rectangles

  • For rectangle in 9)
  • Area formula \(A = l\times w\), where \(l = 10\) in, \(w = 4\) in. So \(A=10\times4 = 40\) in²
  • Perimeter formula \(P=2(l + w)\), so \(P=2(10 + 4)=2\times14 = 28\) in
  • For rectangle in 10)
  • \(l = 6\) cm, \(w = 4\) cm. \(A=6\times4=24\) cm²
  • \(P=2(6 + 4)=2\times10 = 20\) cm
  • For rectangle in 11)
  • \(l = 8\) ft, \(w = 2\) ft. \(A=8\times2=16\) ft²
  • \(P=2(8 + 2)=2\times10 = 20\) ft
  • For rectangle in 12)
  • \(l = 6\) m, \(w = 1\) m. \(A=6\times1=6\) m²
  • \(P=2(6 + 1)=2\times7 = 14\) m

Step3: Solve word - problems

  • For problem 13)
  • Total savings \(T=\$189\), money from babysitting \(B = \$62\). Money from birthday \(M=T - B\)
  • \(M=189-62=\$127\)
  • For problem 14)
  • Total photographs \(N = 35\), number of envelopes \(E = 5\). Number of photos per envelope \(n=\frac{N}{E}\)
  • \(n=\frac{35}{5}=7\)

Answer:

  1. \(12\)
  2. \(20\)
  3. \(5\)
  4. \(9\)
  5. \(4\)
  6. \(9\)
  7. \(10\)
  8. \(8\)
  9. \(A = 40\) in², \(P = 28\) in
  10. \(A = 24\) cm², \(P = 20\) cm
  11. \(A = 16\) ft², \(P = 20\) ft
  12. \(A = 6\) m², \(P = 14\) m
  13. \(\$127\)
  14. \(7\)