Algebra Readiness Test

1.
\((0.8)^2 - (0.2)^3 =\)
(A)
\(0.632\)
(B)
\(0.634\)
(C)
\(0.648\)
(D)
\(5.6\)
2.
\(3\) less than the product of a number \(n\) and \(6\) is \(11\). Which of the following describes this?
(A)
\(6n - 3 = 11\)
(B)
\(3 - 6n = 11\)
(C)
\(3 - (6 + n) = 11\)
(D)
\(3n - 6 = 11\)
3.
The temperature at noon on a given day was \(-11 ° C\) By 3:00PM on that day, it had warmed by \(19 ° C\) The temperature at 3:00PM was
(A)
\(19 ° C\)
(B)
\(-8 ° C\)
(C)
\(8 ° C\)
(D)
\(30 ° C\)
4.
\(\sqrt{19}\) is a number between
(A)
\(4\) and \(5\)
(B)
\(5\) and \(6\)
(C)
\(9\) and \(10\)
(D)
\(36\) and \(40\)
5.
The least common multiple of \(8\), \(24\), and \(36\) is
(A)
\(8\)
(B)
\(36\)
(C)
\(72\)
(D)
\(216\)
6.
The given circle graph shows the percent of the types of books available at a local library. What degree is the sector that corresponds to Children's fiction?
(A)
\(80 °\)
(B)
\(90 °\)
(C)
\(25 °\)
(D)
\(75 °\)
7.
If \(x=2\), then \(\dfrac{x-\dfrac{1}{4}}{x+\dfrac{3}{8}}=\)
(A)
\(\dfrac{2}{5}\)
(B)
\(-\dfrac{3}{32}\)
(C)
\(-\dfrac{2}{3}\)
(D)
\(\dfrac{14}{19}\)
8.
\(8.13-0.251=\)
(A)
\(7.879\)
(B)
\(7.881\)
(C)
\(0.562\)
(D)
\(8.879\)
9.
If \(x^2+5y=26\)and \(x=4\), then \(y=\)
(A)
\(\dfrac{22}{5}\)
(B)
\(2\)
(C)
\(\dfrac{18}{5}\)
(D)
\(5\)
10.
If a 6-inch turkey sandwich contains 290 calories, which of the following is the best estimate for the number of calories in a 15-in turkey sandwich?
(A)
\(600\)
(B)
\(700\)
(C)
\(800\)
(D)
\(900\)
11.
\(2.3-\dfrac{5}{6}=\)
(A)
\(\dfrac{9}{2}\)
(B)
\(\dfrac{22}{15}\)
(C)
\(\dfrac{9}{30}\)
(D)
\(\dfrac{3}{2}\)
12.
If a windmill makes 3 revolutions every 10 seconds, how many revolutions does the windmill make in one hour?
(A)
\(300\)
(B)
\(600\)
(C)
\(1080\)
(D)
\(1800\)
13.
\(52\div\dfrac{13}{2}=\)
(A)
\(\dfrac{1}{8}\)
(B)
\(6\)
(C)
\(8\)
(D)
\(338\)
14.
\(4^5 . 4^3 =\)
(A)
\(16^{15}\)
(B)
\(16^8\)
(C)
\(4^{15}\)
(D)
\(4^8\)
15.
Two dice are rolled one time. The sum of the numbers rolled CANNOT be
(A)
\(2\)
(B)
\(5\)
(C)
\(9\)
(D)
\(13\)
16.
If the perimeter of a rectangle is 24 and the length is 10 , then the area is
(A)
\(20\)
(B)
\(70\)
(C)
\(120\)
(D)
\(240\)
17.
\(\dfrac{24}{\dfrac{8}{3}}=\)
(A)
\(9\)
(B)
\(64\)
(C)
\(1\)
(D)
\(\dfrac{1}{9}\)
18.
\((4 \times 10^2)\times (2 \times 10^3) =\)
(A)
\(8 \times 10^6\)
(B)
\(8 \times 10^5\)
(C)
\(6 \times 10^5\)
(D)
\(6 \times 10^6\)
19.
For a certain class, the ratio of the number of female students to the total number of students is 2 to 5. If there are 35 students in the class, how many are female students?
(A)
\(10\)
(B)
\(14\)
(C)
\(21\)
(D)
\(30\)
20.
Which of the fractions shown is the smallest? \(\dfrac{5}{6},\dfrac{7}{8},\dfrac{7}{24},\dfrac{11}{36}\)
(A)
\(\dfrac{5}{6}\)
(B)
\(\dfrac{7}{8}\)
(C)
\(\dfrac{7}{24}\)
(D)
\(\dfrac{11}{36}\)
21.
Which of the following represents the ordering, from smallest to largest, of the numbers shown? \(0.665, 0.68, \dfrac{2}{3}, \dfrac{13}{20}\)
(A)
\(\dfrac{2}{3}, 0.665, 0.68, \dfrac{13}{20}\)
(B)
\(\dfrac{13}{20}, 0.665, 0.68, \dfrac{2}{3}\)
(C)
\(\dfrac{13}{20}, 0.665, \dfrac{2}{3}, 0.68\)
(D)
\(\dfrac{2}{3}, 0.665, \dfrac{13}{20}, 0.68\)
22.
What are the coordinates of \(A\), if \(A\) and \(B\) are equidistant from the y-axis?
(A)
\((5,3)\)
(B)
\((-3,5)\)
(C)
\((3,-5)\)
(D)
\((-3,-5)\)
23.
\(\dfrac{5xy}{35y}=\)
(A)
\(\dfrac{x}{3}\)
(B)
\(7x\)
(C)
\(\dfrac{x}{7}\)
(D)
\(\dfrac{xy}{7}\)
24.
\(\dfrac{8}{3}-\dfrac{5}{2}=\)
(A)
\(\dfrac{1}{2}\)
(B)
\(\dfrac{1}{6}\)
(C)
\(3\)
(D)
\(\dfrac{1}{3}\)
25.
\(62+0.291+5.12=\)
(A)
\(0.865\)
(B)
\(62.803\)
(C)
\(67.303\)
(D)
\(67.411\)
26.
Which of the following is equal to \(0 \div 1\)?
(A)
\(0 \times 1\)
(B)
\(0 + 1\)
(C)
\(\dfrac{1}{0}\)
(D)
\(0 - 1\)
27.
On the number line shown below, \(C\) represents the point which is a quarter of the distance between points \(A\) and \(B\). What number does point \(C\) represent?
(A)
\(-5\)
(B)
\(-4\)
(C)
\(-2\)
(D)
\(-1\)
28.
If \(\sqrt{x} = 4\), then \(x =\)
(A)
\(2\)
(B)
\(8\)
(C)
\(16\)
(D)
\(64\)
29.
Which of the following best approximates \(\dfrac{0.92}{3.1}\)?
(A)
\(0.0003\)
(B)
\(0.003\)
(C)
\(0.03\)
(D)
\(0.3\)
30.
\(65\%\) of \(91.7\) is a number between
(A)
\(9\) and \(45\)
(B)
\(45\) and \(90\)
(C)
\(90\) and \(540\)
(D)
\(540\) and \(6000\)
31.
\(-5+2-6-(-7)=\)
(A)
\(-16\)
(B)
\(-2\)
(C)
\(4\)
(D)
\(16\)
32.
The given line graph shows the goals per game average for a sporting series during the years shown. During what year(s) shown was the average number of goals per game less than 2.3?
(A)
\(1979\) & \(2003\)
(B)
\(1983\) & \(1987\)
(C)
\(1991\) & \(1999\)
(D)
\(1995\)
33.
Of the following numbers, which best approximates \(981.1 - 891.7\)?
(A)
\(10\)
(B)
\(100\)
(C)
\(1,000\)
(D)
\(10,000\)
34.
If a recipe for pancakes calls for \(\dfrac{1}{2}\) cup of milk to make a serving for three people, how many servings do \(4\) cups of milk make?
(A)
\(6\)
(B)
\(12\)
(C)
\(24\)
(D)
\(48\)
35.
\(3-(-4)(-5)=\)
(A)
\(-35\)
(B)
\(-17\)
(C)
\(23\)
(D)
\(5\)
36.
What number multiples by \(-4\) gives \(-28\) as the result?
(A)
\(112\)
(B)
\(7\)
(C)
\(-6\)
(D)
\(-7\)
37.
The prime factorization of \(60\) is
(A)
\(1 \times 60\)
(B)
\(2 \times 3 \times 10\)
(C)
\(2 \times 2 \times 3 \times 5\)
(D)
\(2 \times 3 \times 3 \times 5\)
38.
Sandy and John were traveling at the same rate of \(70\) miles per hour on a certain day. If Sandy drove for \(3\dfrac{1}{2}\) hours and John drove for \(1\dfrac{3}{4}\) hours, what is the total distance they drove that day?
(A)
\(147\) miles
(B)
\(322.5\) miles
(C)
\(350\) miles
(D)
\(367.5\) miles
39.
The diameter of a circle is \(8\). What is the area of the circle?
(A)
\(8 \pi\)
(B)
\(4 \pi\)
(C)
\(16 \pi\)
(D)
\(64 \pi\)
40.
In the figure shown, what is the area of the shaded region?
(A)
\(6\)
(B)
\(5\)
(C)
\(-6\)
(D)
\(-16\)
41.
\((1-3)-5=\)
(A)
\(-8\)
(B)
\(-7\)
(C)
\(3\)
(D)
\(10\)
42.
The price of a car decreased by 10%. If the car originally cost $20,000, what was its price after the decrease?
(A)
\($18,500\)
(B)
\($10,000\)
(C)
\($19,000\)
(D)
\($18,000\)
43.
The total surface area of a cylinder is given by \(A = 2 \pi r^2 + 2 \pi rh\), where \(r\) is the radius of the base, and \(h\) is the height of the cylinder. Use \(r = 1, h = 2\) and \(\pi = \dfrac{22}{7}\) to find \(A\).
(A)
\(\dfrac{132}{7}\)
(B)
\(\dfrac{176}{7}\)
(C)
\(\dfrac{220}{7}\)
(D)
\(\dfrac{64}{7}\)
44.
In the given figure, what fractional part of the circle is shaded?
(A)
\(\dfrac{11}{20}\)
(B)
\(\dfrac{17}{25}\)
(C)
\(\dfrac{8}{25}\)
(D)
\(\dfrac{9}{20}\)
45.
Which of the following integers is closest to \(\dfrac{49}{9}\)?
(A)
\(4\)
(B)
\(5\)
(C)
\(6\)
(D)
\(7\)
46.
In the right triangle \(ABC\) shown, what is the length of \(AB\)?
(A)
\(16\)
(B)
\(8\)
(C)
\(10\)
(D)
\(13\)
47.
Expressed as decimal, \(1.2 \%\) is
(A)
\(120\)
(B)
\(0.12\)
(C)
\(0.012\)
(D)
\(12\)
48.
The pictograph of fruit production in a particular year is shown by the top fruit-producing regions. How many more bushels of fruit were produced in the coastal region than in the northern region?
(A)
30 million
(B)
35 million
(C)
45 million
(D)
65 million
49.
A number \(k\) is greater than \(5\). Which of the following statements is correct regarding \(\dfrac{k}{5}\)?
(A)
less than 1
(B)
greater than 1
(C)
equal to 1
(D)
equal to 6
50.
\(\left(4-3\dfrac{1}{3}\right)+\dfrac{5}{3}=\)
(A)
\(1 \dfrac{1}{3}\)
(B)
\(3\)
(C)
\(2 \dfrac{1}{3}\)
(D)
\(4 \dfrac{2}{3}\)