Question 1

Insert  to write a true statement.
-0 ____ -4

Accepted Answer

A)    -4 
B)  $0>-4$ 
A)    -4 
B)  $0>-4$

Question 2

Solve the problem.
-A machinist has flat metal plate that is $7.265 \mathrm{~cm}$ thick. He laminates the metal plate with four more layers that are $4.140 \mathrm{~cm}, 1.620 \mathrm{~cm}, 3.767 \mathrm{~cm}$, and $4.924 \mathrm{~cm}$ thick. He then grinds off $4.241 \mathrm{~cm}$ from the top of the plate, then $2.177 \mathrm{~cm}$ more, and finally another $3.048 \mathrm{~cm}$. Find the new thickness of the plate.

Accepted Answer

A)  $12.250 \mathrm{~cm}$ 
B)  $25.086 \mathrm{~cm}$ 
C)  $16.491 \mathrm{~cm}$ 
D)  $2.280 \mathrm{~cm}$ 
A)  $12.250 \mathrm{~cm}$ 
B)  $25.086 \mathrm{~cm}$ 
C)  $16.491 \mathrm{~cm}$ 
D)  $2.280 \mathrm{~cm}$

Question 3

Simplify.
-$-\frac{36 t}{24 t}$

Accepted Answer

A)  $\frac{3 t}{2}$ 
B)  $-\frac{3 t}{2}$ 
C)  $-\frac{3}{2}$ 
D)  $\frac{3}{2}$ 
A)  $\frac{3 t}{2}$ 
B)  $-\frac{3 t}{2}$ 
C)  $-\frac{3}{2}$ 
D)  $\frac{3}{2}$

Question 4

Find the absolute value.
-$\left|-\frac{1}{2}\right|$

Accepted Answer

A)  0 
B)  $\frac{1}{2}$ 
C)  $-\frac{1}{2}$ 
D)  1 
A)  0 
B)  $\frac{1}{2}$ 
C)  $-\frac{1}{2}$ 
D)  1

Question 5

According to the rules for the order of operations, what should be the first step when simplifying the expression $[-2+(-10+4)]+(-5+6)$ ?

Accepted Answer

A)  find the sum of -2 and -10 
B)  find the sum of 4 and - 5 
C)  find the sum of -10 and 4 
D)  find the sum of -2 and -5 
A)  find the sum of -2 and -10 
B)  find the sum of 4 and - 5 
C)  find the sum of -10 and 4 
D)  find the sum of -2 and -5

Question 6

Translate to an algebraic expression.
-Monica had $\$ 30$ before spending $x$ dollars for a snack. How much money remains?

Accepted Answer

A)  $x-\$ 30$ 
B)  $\$ 30+x$ 
C)  $\$ 30 x$ 
D)  $\$ 30-x$ 
A)  $x-\$ 30$ 
B)  $\$ 30+x$ 
C)  $\$ 30 x$ 
D)  $\$ 30-x$

Question 7

Evaluate $-(-x)$ for the given value of $x$.
-$x=-\frac{31}{47}$

Accepted Answer

A)  $-\frac{31}{47}$ 
B)  $\frac{31}{47}$ 
C)  $-\frac{47}{31}$ 
D)  $\frac{47}{31}$ 
A)  $-\frac{31}{47}$ 
B)  $\frac{31}{47}$ 
C)  $-\frac{47}{31}$ 
D)  $\frac{47}{31}$

Question 8

Factor. Check by multiplying.
-$2 s+12+8 t$

Accepted Answer

A)  $2(s+12+4 t)$ 
B)  $2(s+6+4 t)$ 
C)  $2(s+12+8 t)$ 
D)  $8(s+6+t)$ 
A)  $2(s+12+4 t)$ 
B)  $2(s+6+4 t)$ 
C)  $2(s+12+8 t)$ 
D)  $8(s+6+t)$

Question 9

Translate the phrase to an algebraic expression.
-Eight multiplied by $x$

Accepted Answer

A)  $8+x$ 
B)  $\frac{8}{x}$ 
C)  $8-x$ 
D)  $8 x$ 
A)  $8+x$ 
B)  $\frac{8}{x}$ 
C)  $8-x$ 
D)  $8 x$

Question 10

Subtract.
-$40.36-32$

Accepted Answer

A)  72.36 
B)  8.36 
C)  8.86 
D)  8.46 
A)  72.36 
B)  8.36 
C)  8.86 
D)  8.46

Question 11

Simplify.
-$\frac{64-5 \cdot 4}{3^{3} \div 3^{2}-(-3)^{2}}$

Accepted Answer

A)  $-\frac{22}{3}$ 
B)  $\frac{3}{2}$ 
C)  $-\frac{7}{6}$ 
D)  $\frac{11}{3}$ 
A)  $-\frac{22}{3}$ 
B)  $\frac{3}{2}$ 
C)  $-\frac{7}{6}$ 
D)  $\frac{11}{3}$

Question 12

Rewrite the division as a multiplication.
-$\frac{9}{-8}$

Accepted Answer

A)  $9 \cdot 8$ 
B)  $-9 \cdot-8$ 
C)  $9 \cdot\left(-\frac{1}{8}\right)$ 
D)  $-9 \cdot \frac{1}{9}$ 
A)  $9 \cdot 8$ 
B)  $-9 \cdot-8$ 
C)  $9 \cdot\left(-\frac{1}{8}\right)$ 
D)  $-9 \cdot \frac{1}{9}$

Question 13

Find the absolute value.
-$\left|\frac{0}{11}\right|$

Accepted Answer

A)  11 
B)  -11 
C)  0 
D)  undefined 
A)  11 
B)  -11 
C)  0 
D)  undefined

Question 14

Simplify.
-$-9+(-14)+(-4)+(-7)+2+(-5)$

Accepted Answer

A)  -11 
B)  -37 
C)  -41 
D)  5 
A)  -11 
B)  -37 
C)  -41 
D)  5

Question 15

Multiply.
-$-4.6(6.8 x-2.4 y-1.1)$

Accepted Answer

A)  $-31.28 x+11.04 y-1.1$ 
B)  $-31.28 x-11.04 y-5.06$ 
C)  $-31.28 x+11.04 y+5.06$ 
D)  $-31.28 x-2.4 y-1.1$ 
A)  $-31.28 x+11.04 y-1.1$ 
B)  $-31.28 x-11.04 y-5.06$ 
C)  $-31.28 x+11.04 y+5.06$ 
D)  $-31.28 x-2.4 y-1.1$

Question 16

Simplify.
-$\frac{-35 \mathrm{mn}}{15 \mathrm{mn}}$

Accepted Answer

A)  $\frac{7}{15}$ 
B)  $\frac{-3 n}{7 m}$ 
C)  $-\frac{7}{3}$ 
D)  $\frac{7}{3} m$ 
A)  $\frac{7}{15}$ 
B)  $\frac{-3 n}{7 m}$ 
C)  $-\frac{7}{3}$ 
D)  $\frac{7}{3} m$

Question 17

Insert  to write a true statement.
--6 ____$-\frac{7}{5}$

Accepted Answer

A) $-6>-\frac{7}{5}$ B) $-6<-\frac{7}{5}$ A) $-6>-\frac{7}{5}$ B) $-6<-\frac{7}{5}$

Question 18

Evaluate $-(-x)$ for the given value of $x$.
-$x=44$

Accepted Answer

A)  44 
B)  -44 
C)  $\frac{1}{44}$ 
D)  0 
A)  44 
B)  -44 
C)  $\frac{1}{44}$ 
D)  0

Question 19

Solve the problem.
-Sergey averages 32 miles per gallon of gasoline in his car. How far can he travel on 14 gallons of gasoline?

Accepted Answer

A)  50 miles 
B)  46 miles 
C)  452 miles 
D)  448 miles 
A)  50 miles 
B)  46 miles 
C)  452 miles 
D)  448 miles

Question 20

Subtract.
-$0.87-0.94$

Accepted Answer

A)  -1.71 
B)  -1.81 
C)  -0.07 
D)  0.8178 
A)  -1.71 
B)  -1.81 
C)  -0.07 
D)  0.8178

Insert $<$ or $>$ to write a true statement. -0 ____ -4

Simplify. - $-\frac{36 t}{24 t}$

Find the absolute value. - $\left|-\frac{1}{2}\right|$

According to the rules for the order of operations, what should be the first step when simplifying the expression $[-2+(-10+4)]+(-5+6)$ ?

Translate to an algebraic expression. -Monica had $\$ 30$ before spending $x$ dollars for a snack. How much money remains?

Evaluate $-(-x)$ for the given value of $x$ . - $x=-\frac{31}{47}$

Factor. Check by multiplying. - $2 s+12+8 t$

Translate the phrase to an algebraic expression. -Eight multiplied by $x$

Subtract. - $40.36-32$

Simplify. - $\frac{64-5 \cdot 4}{3^{3} \div 3^{2}-(-3)^{2}}$

Rewrite the division as a multiplication. - $\frac{9}{-8}$

Find the absolute value. - $\left|\frac{0}{11}\right|$

Simplify. - $-9+(-14)+(-4)+(-7)+2+(-5)$

Multiply. - $-4.6(6.8 x-2.4 y-1.1)$

Simplify. - $\frac{-35 \mathrm{mn}}{15 \mathrm{mn}}$

Insert $<$ or $>$ to write a true statement. --6 ____ $-\frac{7}{5}$

Evaluate $-(-x)$ for the given value of $x$ . - $x=44$

Solve the problem. -Sergey averages 32 miles per gallon of gasoline in his car. How far can he travel on 14 gallons of gasoline?

Subtract. - $0.87-0.94$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 7: Introduction to Real Numbers and Algebraic Expressions

Insert <<< or >>> to write a true statement. -0 ____ -4

Simplify. - −36t24t-\frac{36 t}{24 t}−24t36t​

Find the absolute value. - ∣−12∣\left|-\frac{1}{2}\right|​−21​​

According to the rules for the order of operations, what should be the first step when simplifying the expression [−2+(−10+4)]+(−5+6)[-2+(-10+4)]+(-5+6)[−2+(−10+4)]+(−5+6) ?

Translate to an algebraic expression. -Monica had $30\$ 30$30 before spending xxx dollars for a snack. How much money remains?

Evaluate −(−x)-(-x)−(−x) for the given value of xxx . - x=−3147x=-\frac{31}{47}x=−4731​

Factor. Check by multiplying. - 2s+12+8t2 s+12+8 t2s+12+8t

Translate the phrase to an algebraic expression. -Eight multiplied by xxx

Subtract. - 40.36−3240.36-3240.36−32

Simplify. - 64−5⋅433÷32−(−3)2\frac{64-5 \cdot 4}{3^{3} \div 3^{2}-(-3)^{2}}33÷32−(−3)264−5⋅4​

Rewrite the division as a multiplication. - 9−8\frac{9}{-8}−89​

Find the absolute value. - ∣011∣\left|\frac{0}{11}\right|​110​​

Simplify. - −9+(−14)+(−4)+(−7)+2+(−5)-9+(-14)+(-4)+(-7)+2+(-5)−9+(−14)+(−4)+(−7)+2+(−5)

Multiply. - −4.6(6.8x−2.4y−1.1)-4.6(6.8 x-2.4 y-1.1)−4.6(6.8x−2.4y−1.1)

Simplify. - −35mn15mn\frac{-35 \mathrm{mn}}{15 \mathrm{mn}}15mn−35mn​

Insert <<< or >>> to write a true statement. --6 ____ −75-\frac{7}{5}−57​

Evaluate −(−x)-(-x)−(−x) for the given value of xxx . - x=44x=44x=44

Solve the problem. -Sergey averages 32 miles per gallon of gasoline in his car. How far can he travel on 14 gallons of gasoline?

Subtract. - 0.87−0.940.87-0.940.87−0.94

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Insert $<$ or $>$ to write a true statement. -0 ____ -4

Simplify. - $-\frac{36 t}{24 t}$

Find the absolute value. - $\left|-\frac{1}{2}\right|$

According to the rules for the order of operations, what should be the first step when simplifying the expression $[-2+(-10+4)]+(-5+6)$ ?

Translate to an algebraic expression. -Monica had $\$ 30$ before spending $x$ dollars for a snack. How much money remains?

Evaluate $-(-x)$ for the given value of $x$ . - $x=-\frac{31}{47}$

Factor. Check by multiplying. - $2 s+12+8 t$

Translate the phrase to an algebraic expression. -Eight multiplied by $x$

Subtract. - $40.36-32$

Simplify. - $\frac{64-5 \cdot 4}{3^{3} \div 3^{2}-(-3)^{2}}$

Rewrite the division as a multiplication. - $\frac{9}{-8}$

Find the absolute value. - $\left|\frac{0}{11}\right|$

Simplify. - $-9+(-14)+(-4)+(-7)+2+(-5)$

Multiply. - $-4.6(6.8 x-2.4 y-1.1)$

Simplify. - $\frac{-35 \mathrm{mn}}{15 \mathrm{mn}}$

Insert $<$ or $>$ to write a true statement. --6 ____ $-\frac{7}{5}$

Evaluate $-(-x)$ for the given value of $x$ . - $x=44$

Subtract. - $0.87-0.94$