Math  /  Algebra

QuestionLearning Intention: "I can write and solve proportions."
Need assistancent \checkmark Confer with an elbow parener \checkmark Review "Math Notes: Proportions ("Is On(y)" (Spiral notebook \& Google Classroom) WWatch "Proportions ("Is Oniy)" YouTube videos (Google Classroom) \checkmark Refer to envisionmath 2.0 Textbook volume 2 (Pages 263-274)
Unit 3 Math Worksheet \#2 Solve for xx. Round answers to the hundredths place, if applicable.
1. 1216=x20\frac{12}{16}=\frac{x}{20}
2. x12=128\frac{x}{12}=\frac{12}{8}
3. 1420=21x\frac{14}{20}=\frac{21}{x}
4. 4x=156\frac{4}{x}=\frac{15}{6}
5. 207=3x\frac{20}{7}=\frac{3}{x}
6. x20=1845\frac{x}{20}=\frac{18}{45}
7. 220450=x225\frac{220}{450}=\frac{x}{225}
8. 9x=4036\frac{9}{x}=\frac{40}{36}
9. 355=x2\frac{35}{5}=\frac{x}{2}
10. 50x=12530\frac{50}{x}=\frac{125}{30}

Studdy Solution
Since x=15 x = 15 is a whole number, no rounding is needed.
### Problem 2: x12=128\frac{x}{12}=\frac{12}{8}
STEP_1: Set up the proportion equation:
x12=128\frac{x}{12} = \frac{12}{8}
STEP_2: Cross-multiply to eliminate the fractions:
x×8=12×12x \times 8 = 12 \times 12
STEP_3: Solve for x x :
8x=1448x = 144
Divide both sides by 8:
x=1448x = \frac{144}{8}
x=18x = 18
STEP_4: Since x=18 x = 18 is a whole number, no rounding is needed.
### Problem 3: 1420=21x\frac{14}{20}=\frac{21}{x}
STEP_1: Set up the proportion equation:
1420=21x\frac{14}{20} = \frac{21}{x}
STEP_2: Cross-multiply to eliminate the fractions:
14x=20×2114x = 20 \times 21
STEP_3: Solve for x x :
14x=42014x = 420
Divide both sides by 14:
x=42014x = \frac{420}{14}
x=30x = 30
STEP_4: Since x=30 x = 30 is a whole number, no rounding is needed.
### Problem 4: 4x=156\frac{4}{x}=\frac{15}{6}
STEP_1: Set up the proportion equation:
4x=156\frac{4}{x} = \frac{15}{6}
STEP_2: Cross-multiply to eliminate the fractions:
4×6=15×x4 \times 6 = 15 \times x
STEP_3: Solve for x x :
24=15x24 = 15x
Divide both sides by 15:
x=2415x = \frac{24}{15}
x=1.6x = 1.6
STEP_4: Since x=1.6 x = 1.6 is already rounded to the tenths place, round to the hundredths place if necessary. Here, it remains x=1.60 x = 1.60 .
### Problem 5: 207=3x\frac{20}{7}=\frac{3}{x}
STEP_1: Set up the proportion equation:
207=3x\frac{20}{7} = \frac{3}{x}
STEP_2: Cross-multiply to eliminate the fractions:
20x=7×320x = 7 \times 3
STEP_3: Solve for x x :
20x=2120x = 21
Divide both sides by 20:
x=2120x = \frac{21}{20}
x=1.05x = 1.05
STEP_4: Since x=1.05 x = 1.05 is already rounded to the hundredths place, no further rounding is needed.
### Problem 6: x20=1845\frac{x}{20}=\frac{18}{45}
STEP_1: Set up the proportion equation:
x20=1845\frac{x}{20} = \frac{18}{45}
STEP_2: Cross-multiply to eliminate the fractions:
x×45=18×20x \times 45 = 18 \times 20
STEP_3: Solve for x x :
45x=36045x = 360
Divide both sides by 45:
x=36045x = \frac{360}{45}
x=8x = 8
STEP_4: Since x=8 x = 8 is a whole number, no rounding is needed.
### Problem 7: 220450=x225\frac{220}{450}=\frac{x}{225}
STEP_1: Set up the proportion equation:
220450=x225\frac{220}{450} = \frac{x}{225}
STEP_2: Cross-multiply to eliminate the fractions:
220×225=450×x220 \times 225 = 450 \times x
STEP_3: Solve for x x :
49500=450x49500 = 450x
Divide both sides by 450:
x=49500450x = \frac{49500}{450}
x=110x = 110
STEP_4: Since x=110 x = 110 is a whole number, no rounding is needed.
### Problem 8: 9x=4036\frac{9}{x}=\frac{40}{36}
STEP_1: Set up the proportion equation:
9x=4036\frac{9}{x} = \frac{40}{36}
STEP_2: Cross-multiply to eliminate the fractions:
9×36=40×x9 \times 36 = 40 \times x
STEP_3: Solve for x x :
324=40x324 = 40x
Divide both sides by 40:
x=32440x = \frac{324}{40}
x=8.1x = 8.1
STEP_4: Since x=8.1 x = 8.1 is already rounded to the tenths place, round to the hundredths place if necessary. Here, it remains x=8.10 x = 8.10 .
### Problem 9: 355=x2\frac{35}{5}=\frac{x}{2}
STEP_1: Set up the proportion equation:
355=x2\frac{35}{5} = \frac{x}{2}
STEP_2: Cross-multiply to eliminate the fractions:
35×2=5×x35 \times 2 = 5 \times x
STEP_3: Solve for x x :
70=5x70 = 5x
Divide both sides by 5:
x=705x = \frac{70}{5}
x=14x = 14
STEP_4: Since x=14 x = 14 is a whole number, no rounding is needed.
### Problem 10: 50x=12530\frac{50}{x}=\frac{125}{30}
STEP_1: Set up the proportion equation:
50x=12530\frac{50}{x} = \frac{125}{30}
STEP_2: Cross-multiply to eliminate the fractions:
50×30=125×x50 \times 30 = 125 \times x
STEP_3: Solve for x x :
1500=125x1500 = 125x
Divide both sides by 125:
x=1500125x = \frac{1500}{125}
x=12x = 12
STEP_4: Since x=12 x = 12 is a whole number, no rounding is needed.

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