5.1.1: Exercises
- Page ID
- 169538
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For the following exercises, translate from algebra to words.
\(50-15\)
(10) \((x)\)
\(2 a-b\)
\(100 \div 33\)
\(3 x+5\)
For the following exercises, translate from words to algebra.
15 divided by 3 .
The sum of 13 and 13.
120 minus 12 .
The product of 5 and 4.
The sum of double \(x\) and 5 .
For the following exercises, translate from an English phrase to an expression.
Three times \(y\) minus 7 .
\(a\) divided by 2 ; then add 4.
\(x\) squared minus 3 .
A rental car company charges \(\$ 0.15\) per mile \(m\), plus a \(\$ 40\) flat fee for the rental.
A parking garage in New York City charges \(\$ 20\) for the first hour, then \(\$ 5\) per hour \(h\).
For the following exercises, use parentheses to make the statements true.
\(16 \div 4 \bullet 2+5=13\)
\(2^2-5+3 \bullet 2=5\)
\(x-3 \bullet x-2=x^2-5 x+6\)
\(20 x \div 5-1-5 x=0\)
\(5 x+3 x \div 3-7 x+1 \bullet x=0\)
For the following exercises, evaluate and simplify the expression.
\(x^2\) when \(x=9\)
\(2 x+5\) when \(x=3\)
\((3 x+1)(4 x-6)\) when \(x=2\)
\(x^2+3 x+8\) when \(x=3\)
\(\left(x^2+5 x-4\right)(2 x)\) when \(x=4\)
\(4 a+5-2 a-8\) when \(a=6\)
\(8 a^2+4 a+9-a^2-1\) when \(a=5\)
Yasenia is 3 years older than Xavier. How old is Yasenia when Xavier is 18 years old?
A rental car company charges \(\$ 0.15\) per mile \(m\), plus a \(\$ 40\) flat fee for the rental. What is the cost of the car rental if one drives 100 miles?
A parking garage in New York City charges \(\$ 20\) for the first hour, then \(\$ 5\) per hour \(h\). What is the cost of parking for 10 hours?
For the following exercises, perform the indicated operation for the expressions.
Add \((4 x-9)+(x+12)\).
Add \(\left(3 x^2+2 x+1\right)+\left(x^2-2 x+2\right)\).
Subtract \((4 x-9)-(-x+2)\).
Subtract \(\left(3 x^2+5 x\right)-\left(x^2-3 x+11\right)\).
Multiply \(4(x+2)\).
Multiply \(2\left(3 x^2-2 x+1\right)\).
Multiply \((3 x)(x-1)\).
Multiply \((2 x-1)(x+3)\).
\(\left(125 x^2+35 x-5\right) \div(5)\).
\(\left(9 x^2+18 x-27\right) \div(3 x)\).