Section 5.1: Unit 1 Practice Answers

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Unit 1 Answers

Section 1.1P: Language of Algebra

$16$ minus $9$, the difference of sixteen and nine
$28$ divided by $4$, the quotient of twenty-eight and four
$2$ times $7$, the product of two and seven
Fourteen is less than twenty-one
Thirty-six is greater than or equal to nineteen
$y$ minus $1$ is greater than $6$, the difference of $y$ and one is greater than six
$2$ is less than or equal to $18$ divided by $6$, or $2$ is less than or equal to the quotient of eighteen and six
equation
expression
expression
He will pay $750, and the insurance company will pay $1,350.
Answers will vary.

Section 1.2P: Order of Operations

$125$
$256$
$43$
$55$
$5$
$34$
$58$
$6$
$4$
$35$
$58$
$149$
$50$

Section 1.3P: Exploring Expressions

$22$
$144$
$32$
$21$
\72\)
$73$
$54$
$8$
$5$
$x^{3}$ and $8x^{3}$, $14$ and $5$
$16$ and $4$, $16b^{2}$ and $9b^{2}$
$15x^{2}, 6x, 2$
$10y^{3}, y, 2$
$13x$
$7c$
$10u + 3$
$22a + 1$
$17x^{2} + 20x + 16$
$14-9$
$9\cdot 7$
$36\div 9$
$8x+3x$
$\frac{y}{3}$
$8(y-9)$
$c+3$
$2n - 7$
Answers will vary.

Section 1.4P: Integers

$>$
$>$
$>$
$>$
$=$
$=$
$=$
$8$
$15$
$1$
$32$
$-22$
$29$
$6$
$-6$
$22$
$45$
$0$
$4$
$6$
$-32$
$-65$
$-4$
$13$
$-4$
$-12$
$64$
$-64$
$-47$
$90$
$9$
$41$
$-9$
$-29$
$1$
$-3$
$5$
$121$
$-56$
$6$
$-5$
$28$
$\displaystyle -\frac{6}{a+b}$
$96$
$21$
Answers will vary.
Answers will vary.

Section 1.5P: Fractions

$-\dfrac{12}{7}$
$\dfrac{2x^2}{3y}$
$-\dfrac{21a^2}{11b^2}$
$\dfrac{1}{3}$
$-\dfrac{21}{50}$
$9n$
$\dfrac{33}{4x}$
$\dfrac{10u}{9v}$
$-\dfrac{1}{16}$
$-\dfrac{10}{9}$
$-\dfrac{2}{5}$
$\dfrac{2m}{3n}$
$\dfrac{1}{48}$
$-\dfrac{53}{40}$
$\dfrac{1}{12}$
$\dfrac{4x+3}{12}$
$\dfrac{-8x-15}{18}$
$-\dfrac{10k}{27}$
$\dfrac{-5(a+1)}{3}$
$a$
$\dfrac{9}{7}$
$-8$
$\dfrac{5}{2}$
$54$
$\dfrac{49}{25}$
$\dfrac{15}{4}$
$\dfrac{5}{21}$
$\dfrac{5}{4}$
$\dfrac{-28-15y}{60}$
$\dfrac{33}{64}$
$\dfrac{7}{9}$
$-5$
$\dfrac{23}{24}$
$1$
$\dfrac{13}{3}$
$-\dfrac{1}{9}$
$-\dfrac{5}{11}$
Answers will vary.
Answers will vary.

Section 1.6P: Dimensional Analysis

72 inches
53$\frac{1}{3}$ yards
90 feet
9,200 pounds
17$\frac{1}{2}$ tons
5,400 s
224 ounces
1$\frac{1}{4}$ gallons
76 in.
65 days
115 ounces
8 lbs. 13 oz.
3.05 hours
10 ft. 2 in.
4 yards
5,000 meters
155 centimeters
3.072 kilometers
1.5 grams
91,600 milligrams
0.75 liters
91 centimeters
855 grams
2.1 kilograms
1.6 liters
190.5 centimeters
21.9 meters
3.1 miles
44 pounds
53.2 liters
14.6 kilograms
Answers will vary.
Answers will vary.

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