Practice Test 4 - 6th Grade Math

20 questions. Answer them in any order, then submit to see your score and every explanation.

At a fruit stand, apples cost $4.50 for 3 pounds and oranges cost $6.40 for 4 pounds. Sarah wants to buy 5 pounds of the cheaper fruit. How much will she spend?
A rope is $24$ feet long and is cut into $6$ equal pieces. Let $p$ be the length of one piece in feet. Which equation represents this situation?
A recipe for 8 servings calls for 2.5 cups of flour. Elena wants to make enough for 12 people, but she only has 3 cups of flour. How much more flour does she need?
Maria writes the equation $x + (-4.5) = 0$ and says the solution is the additive inverse of $-4.5$ . Carlos writes $y - 4.5 = 0$ and says his solution is different from Maria's. Who is correct?
Carlos calculated that $\frac{7}{8} - \frac{2}{5} = \frac{19}{40}$ . To check if this is reasonable, he estimates using $1 - \frac{1}{2} = \frac{1}{2}$ . His friend Rosa suggests using $\frac{3}{4} - \frac{1}{2} = \frac{1}{4}$ instead. Which estimation approach better helps verify the reasonableness of Carlos's answer?
A student is checking homework and wants to verify the value of $4^2 + 3\times 2^3$ . What is the correct value?
From the set $\{0,1,2,3,4\}$ , which values make the inequality $2x<6$ true? (Check each value by substitution.)
A car rental company charges $30 per day plus $0.25 per mile driven. Two students write different equations: Student A writes $C = 30d + 0.25m$ and Student B writes $C = 30 + 0.25m$ (for one day). In terms of independent and dependent variables, which analysis is most accurate?
A student writes the total cost of buying $x$ notebooks at $3 each plus a $2 folder as $3(x+2)$ . Use the distributive property to expand $3(x+2)$ . Which expression is equivalent?
At a school book fair, Jada had some money. After she earned $12.50 helping a teacher, she had $30.00 total. Write an equation of the form $x+p=q$ and solve for $x$ . What was her starting amount of money?
A school is ordering pizza for a field trip. They need $1$ pizza for every $4$ students, plus $2$ extra pizzas for the teachers. If there are $s$ students going on the trip, which expression represents the total number of pizzas needed?
A snack mix recipe uses 3 cups of pretzels for every 5 cups of cereal. If you use 20 cups of cereal, how many cups of pretzels are needed to keep the same ratio?
A teacher wants to study how students perform on math tests. She is considering four different data collection approaches. Which approach would produce data with NO variability?
A student starts with $0 in a lunch account. Deposits are positive and money owed is negative. After buying lunch, the account shows $-12$ . What does $-12$ mean in this context?
A student simplifies $7y-2y+4$ by combining like terms. Which expression is equivalent to $7y-2y+4$ ?
Two points are $A(3,5)$ and $E(-3,5)$ . How are these points related on the coordinate plane?
A science class recorded the heights (in cm) of 9 plants: 14, 15, 15, 16, 16, 17, 17, 18, 25. Find the mean and the MAD (mean absolute deviation from the mean). Then describe the overall pattern and any striking deviation.
A pentagon-shaped sign can be decomposed into a rectangle and a triangle that sit on top of it. - The rectangle is $8\text{ ft}$ wide and $5\text{ ft}$ tall. - The triangle on top has the same base as the rectangle ( $8\text{ ft}$ ) and a height of $3\text{ ft}$ . What is the area of the pentagon?
Two towns report temperatures of $-4^\circ\text{C}$ and $-9^\circ\text{C}$ . Which town is warmer, and what inequality matches that comparison?
A game uses the points rule $6\times 2^2-10$ . How many points is that?

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