Top 10 CLEP College Algebra Practice Questions
B. \( y = 5x\)
C. \( y≥x\)
D. \( y+4x=z\)
E. \( y>x\)
9- What is the solution to the following inequality?
\(|x-10|≤3\)
A. \(x≥13 ∪ x≤7\)
B. \( 7≤x≤13\)
C. \( x≥13 \)
D. \( x≤7\)
E. Set of real numbers
10- Two-third of 15 is equal to \(\frac{2}{5}\) of what number?
A. 12
B. 20
C. 25
D. 60
E. 90
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Answers:
1- B
Plug in each pair of number in the equation:
\((2, 1): 2 (2) + 4 (1) = 8\) Nope!
\((–1, 2): 2 (–1) + 4 (2) = 6\) Bingo!
\((–2, 2): 2 (–2) + 4 (2) = 4\) Nope!
\((2, 2): 2 (2) + 4 (2) = 12\) Nope!
\((2, 8): 2 (2) + 4 (8) = 36\) Nope!
2- D
Here we can substitute 8 for \(x\) in the equation. Thus, \(y-3=2(8+5), y-3=26\)
Adding 3 to both sides of the equation: \(y=26+3, y=29\)
3- D
Use Pythagorean Theorem: \(a^2+b^2=c^2⇒5^2+12 ^2=c^2⇒169=c^2⇒c=13\)
4- E
The ratio of boys to girls is 2:3. Therefore, there are 2 boys out of 5 students. To find the answer, first, divide the total number of students by 5, then multiply the result by 2.
\(500÷5=100 ⇒100 × 2=200\)
5- E
Use FOIL (First, Out, In, Last).\((7x+2y)(5x+2y)= \)
\(35x^2+14xy+10xy+4y^2=\)
\(35x^2+ 24xy+4y^2\)
6- E
Use distributive property: \(5x(4+2y)=20x+10xy\)
7- E
\(y=5ab+3b^3\). Plug in the values of a and b in the equation: \(a=2\) and \(b=3\).
\(y=5 (2)(3)+3 (3)^3=30+3(27)=30+81=111\)
8- D
\(x\) and \(z\) are colinear. \(y\) and \(5x\) are colinear. Therefore,
\(x+z=y+5x\),subtract \(x\) from both sides,then,\(z=y+4x\)
9- B
\(|x-10|≤3→-3≤x-10≤3→-3+10≤x-10+10≤3+10→7≤x≤13\)
10- C
Let \(x\) be the number. Write the equation and solve for \(x\). \(\frac{2}{3} ×15= \frac{2}{5}\). \(x⇒\frac{2×15}{3}=\frac{2x}{5 }\), use cross multiplication to solve for \(x\). \(5×30=2x×3⇒150=6x⇒x=25\)
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