Math Placement Practice – Stage 3: Recall

How to Complete This Work

• Put away your notes and other practice materials.
• Attempt to recall what you learned from practice stages 1 and 2.
• Try these problems in one sitting without a calculator.
• If you struggle, sit with it and keep trying!! (It's better to struggle with recall while you're still practicing than when taking the proctored math placement.)
• Check your answers!
• Refer to practice stages 1 and 2 for topics you forgot or got wrong.
• If you would like to print these questions you can do so by going to File > Print in your current browser.
• If you have questions about this practice work please email Megan at mdibonaventura@ric.edu.

Questions

1. Multiply the following two numbers: $3171\left(68\right)$
2. Add the fractions and express your answer as a single fraction in lowest terms: $\frac{5}{8}+\frac{1}{9}$
3. Add the numbers and express your answer as a single fraction in lowest terms: $4\frac{2}{9}+2\frac{5}{9}$
4. Divide the fractions and express your answer as a fraction in lowest terms: $\frac{12}{5}÷\frac{11}{2}$
5. Calculate and express your answer as a fraction in lowest terms: ${\left(\frac{5}{8}\right)}^2$
6. Write 0.55 as a fraction in lowest terms.
7. Calculate $|-32+5|$
8. Calculate $8-(-5)-(13-17)$
9. Calculate $-16+21+14-(8-12)$
10. Calculate $17-(3+8)$

11. Simplify the expression to one of the form $ax+b$: $2(5x+2)-(3x-7)$

    Recall from Part A practice, you need a value for $a$ and a value for $b$.

12. Write an equivalent expression in the form $ax+b$: $2(5x+4)-(5x+4)-6x-8$

13. Simplify the expression to one of the form $a{x}^2+bx+c$: $(3x^2+2x-3)-(4x^2-2x-6)$

    Recall from Part A practice, you need values for $a$, $b$, and $c$.

14. Evaluate the expression $x^2-6x+7$ for $x=-3$.
15. Solve for $x$ and write your answer as a fraction: $14=-3x-7$
16. Solve for $x$ and write your answer as a fraction: $4x+7=1-9x$
17. Solve for $x$ and write your answer as a fraction: $3(x+1)=2-5(2x+3)$
18. Solve for $x$ and write your answer as a fraction: $\frac{1}{4}(x-3)+\frac{3}{4}(x+1)=7x+5$
19. Calculate the slope of the line going through the points $(2,2)$ and $(5,8)$. Write your answer as a fraction.
20. Find the equation of the line going through the points $(4,3)$ and $(3,7)$. Write your answer in the form $y=mx+b$ where both $m$ and $b$ are fractions.
21. Find the $y$-intercept of the line with equation $4x+5y=11$. Write your answer as a fraction.

Answers

1. 215,628 (Multiplication)
2. $\frac{53}{72}$ (Adding fractions)
3. $\frac{61}{9}$ (Adding fractions, mixed numbers)
4. $\frac{24}{55}$ (Dividing fractions)
5. $\frac{25}{64}$ (Rules of exponents)
6. $\frac{11}{20}$ (Convert a decimal to a fraction)
7. 27 (Absolute value, adding integers)
8. 17 (Order of operations)
9. 23 (Order of operations)
10. 6 (Order of operations)
11. $a=7$, $b=11$ (Simplifying expressions)
12. $a=-1$, $b=-4$ (Simplifying expressions)
13. $a=-1$, $b=4$, $c=3$ (Polynomial subtraction, simplifying expressions)
14. 34 (Substitution)
15. $\frac{-7}{1}$ (Solving linear equations in one variable)
16. $\frac{-6}{13}$ (Solving linear equations in one variable)
17. $\frac{-16}{13}$ (Solving linear equations in one variable)
18. $\frac{-5}{6}$ (Solving linear equations in one variable)
19. $m=\frac{2}{1}$ (Calculate slope)
20. $m=\frac{-4}{1}$, $b=\frac{19}{1}$ (Find the equation of a line passing through two points)
21. $y=\frac{11}{5}$ (Find y-intercept)

If you were able to complete this in one sitting without needing to reference notes, you are ready to do our online math placement practice! The online math placement is not scored and you only get one attempt.