2018. Category 1: Numerical Representations and Relationships

George wrote an integer. The opposite of George's integer is -53.

Which of these statements about George's integer must be true?

I. The integer is 53.

II. The integer has an absolute value of -53.

III. The integer is -53.

IV. The integer has an absolute value of 53.

• I and II

• II and IV

• II and III

• I and IV

An engine is operating at 25% of its full power. Which number line shows a point that represents 25%?

• 
• 
• 
• 

Shea wrote the expression 5(y + 2) to show the amount of money five friends paid for snacks at a baseball game. Which expression is equivalent to the one Shea wrote?

• $5+y+5+2+4$
  

• $5\cdot y\cdot5\cdot2+4$

• $5\cdot y\cdot4+5\cdot2\cdot4$

• $5\cdot y+5\cdot2+4$

Which expression is equivalent to

$16+2\cdot36$ ?

• $2^4+2^3\cdot3^2$

• $2^3+2^3\cdot3^2$

• $2^4+2^2\cdot3^2$

• $2^3+2^2\cdot3^3$

The table shows the portion of a day four students used to build a website.

Which list shows the students in order from the greatest amount of time used to the least amount of time used?

• Andrew, Blake, Jamail, Ernesto

• Blake, Andrew, Jamail, Ernesto

• Ernesto, Blake, Andrew, Jamail

• Andrew, Jamail, Ernesto, Blake

Dolores spent $13.00 of the $20.00 in her wallet. Which decimal represents the fraction of the $20.00 Dolores spent?

• 0.35

• 0.13

• 0.07

• 0.65

Which list shows the numbers in order from least value to greatest value?

• $-\frac{2}{5},-2.47,\ -2\ \frac{1}{2},\ 5,\ \frac{21}{4}$
  

• $-\frac{2}{5},-2.47,\ -2\ \frac{1}{2},\ \frac{21}{4},\ 5$

• $-2\ \frac{1}{2},\ -2.47,\ -\frac{2}{5},\ 5,\ \frac{21}{4}$

• $-2\ \frac{1}{2},\ -2.47,\ -\frac{2}{5},\ \frac{21}{4},\ 5$

Keith wrote the expression shown to determine the cost in dollars for an upcoming trip.

$\left(127.50-23.50\right)+3\left(86.50+4\right)$

Which expression is equivalent to the one Keith wrote?

• $107\left(90.50\right)$

• $101\left(90.50\right)$

• $104+3\left(90.50\right)$

• $104+263.50$

The Venn diagram shows the relationships among different sets of numbers.
Which number would be located in the shaded part of the diagram?

• $-1.7$
  

• $-8$

• $\frac{2}{3}$

• $10$