Aspire Alg 1-2 practice

Juliana divided the part of a number line from 0 to 1 into sections of equal length. She plotted point M on the number line, as shown below. One of the following circles is shaded to represent a fraction equivalent to the number represented by point M. Which one?

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Nigel’s class placed 10 empty rain gauges on the playground Monday morning. The line plot below shows the number of inches of rainwater in each gauge after it rained Monday afternoon. What is the mean amount of rainwater per rain gauge, in inches, in the 10 rain gauges

• 25/80

• 5/8

• 51/80

• 37/56

Ryan and Tomas walked to school and then to the park, as described below. Ryan walked 2.3 miles from his home to meet Tomas at school. Tomas walked 2.7 miles from his home to meet Ryan at school. Once they were at school, the boys walked x miles to the park and then x miles back to the school. The sum of the distance Ryan walked and the distance Tomas walked was at least 15 miles, but no more than 21 miles. One of the following is the graph of the possible values of x. Which one?

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A line of symmetry can be divided by a line so that each half is a mirror image of the other

• True

• False

Liam is making chocolate chip cookies. The recipe calls for 1 cup of sugar for every 3 cups of flour. Liam only has 2 cups of flour. How much sugar should Liam use?

• 1/3

• 2/3

• 1 cup

In square ACEG shown below, B, D, F, and H are the midpoints of segments AC, CE, EG, and AG respectively. A student thinks that the area of triangle DEF, shown shaded, is 1/4 the area of square ACEG. Is the student correct?

• Yes

• No

A pattern exists among the units digits of the powers of 7, as shown below. What is the unit's digit of 7⁵⁰? (Note: the unit's digit of 2,401 is 1.)

• 1

• 3

• 4

• 9

There are no solutions to the system of inequalities given because the inequalities have the same slope.

• True

• False

A student thinks that the sum of 4.3 and 8.4 is 12.7 because 4+8=12 and 3+4=7. The student then adds 3.7 and 2.6 and gets 5.13 because 3+2=5 and 7+6=13. Is the answer to the second equation correct?

• Yes. The same method works for both equations.

• No. They need to carry the 1 to the next column on the second equation.

The scatterplots are of 3 different data sets graphed in the standard (x, y) coordinate plane. Each data set has a line of fit shown in the scatterplot. Which of the scatterplots below has (have) a line that fits the data well?

• I only

• II only

• III only

• I, II, and III