Question 1

Write the equation. Let x be the unknown number. Twelve is 7 less than twice a number.

Accepted Answer

A)  12 = 7 - 2x 
B)  12 = 7 < 2x 
C)  12 = 2x + 7 
D)  12 = 2x - 7 
E)  12 = 2(7 - x) 
A)  12 = 7 - 2x 
B)  12 = 7 < 2x 
C)  12 = 2x + 7 
D)  12 = 2x - 7 
E)  12 = 2(7 - x)

Question 2

Solve. $$4 ( x - 3 ) + 3 x = 9$$

Accepted Answer

A)  x = 0 
B)  x = 21 
C)  x = 3 
D)  x = 14 
E)  x = 5 
A)  x = 0 
B)  x = 21 
C)  x = 3 
D)  x = 14 
E)  x = 5

Question 3

Tell whether or not the equation is linear. $$y = 4$$

Accepted Answer

A)  Linear 
B)  Not linear 
A)  Linear 
B)  Not linear

Question 4

Solve the equation. $$4 ( x + 2 ) = - 14$$

Accepted Answer

A)  $x = 5$ 
B)  $x = - 6.5$ 
C)  $x = - 5.5$ 
D)  $x = 5.5$ 
E)  $x = 6.5$ 
A)  $x = 5$ 
B)  $x = - 6.5$ 
C)  $x = - 5.5$ 
D)  $x = 5.5$ 
E)  $x = 6.5$

Question 5

Complete the table for j, k, m, and n. Then choose the correct answer. $$\begin{array} { c l l l l l l } 
x & - 2 & j & k & m & - 1 & n \
y = 2 - 4 x & 10 & 9 & 8 & 7 & 6 & 5
\end{array}$$

Accepted Answer

A)  $j = - \frac { 5 } { 4 }$ 
B)  $m = - \frac { 3 } { 2 }$ 
C)  $n = - \frac { 3 } { 4 }$ 
D)  $n = - \frac { 5 } { 4 }$ 
E)  $j = - 1 \frac { 2 } { 3 }$ 
A)  $j = - \frac { 5 } { 4 }$ 
B)  $m = - \frac { 3 } { 2 }$ 
C)  $n = - \frac { 3 } { 4 }$ 
D)  $n = - \frac { 5 } { 4 }$ 
E)  $j = - 1 \frac { 2 } { 3 }$

Question 6

Solve. $2 w + 8 = 2$

Accepted Answer

A)  3 
B)  -3 
C)  6 
D)  -14 
E)  -6 
A)  3 
B)  -3 
C)  6 
D)  -14 
E)  -6

Question 7

Solve. $2 - 9 x = 11$

Accepted Answer

A)  -9 
B)  1 
C)  9 
D)  13 
E)  -1 
A)  -9 
B)  1 
C)  9 
D)  13 
E)  -1

Question 8

Solve. $$- 4 + 3 ( x + 10 ) = 8$$

Accepted Answer

A)  x = -18 
B)  x = -1 
C)  x = -6 
D)  x = -5 
E)  x = -21 
A)  x = -18 
B)  x = -1 
C)  x = -6 
D)  x = -5 
E)  x = -21

Question 9

Solve $D = 54 t \text { for } t \text { if } D = 250 \text {. }$

Accepted Answer

A)  $t = 4 \frac { 17 } { 27 }$ 
B)  $t = 5 \frac { 17 } { 27 }$ 
C)  $t = 4 \frac { 23 } { 24 }$ 
D)  $t = \frac { 7 } { 29 }$ 
E)  $t = 5 \frac { 23 } { 24 }$ 
A)  $t = 4 \frac { 17 } { 27 }$ 
B)  $t = 5 \frac { 17 } { 27 }$ 
C)  $t = 4 \frac { 23 } { 24 }$ 
D)  $t = \frac { 7 } { 29 }$ 
E)  $t = 5 \frac { 23 } { 24 }$

Question 10

Solve. $4 x + 12 = 0$

Accepted Answer

A)  -16 
B)  3 
C)  -3 
D)  -12 
E)  -4 
A)  -16 
B)  3 
C)  -3 
D)  -12 
E)  -4

Question 11

Solve. $5 + 4 x = 17$

Accepted Answer

A)  3 
B)  9 
C)  22 
D)  12 
E)  -3 
A)  3 
B)  9 
C)  22 
D)  12 
E)  -3

Question 12

Use two calculators tables to solve the equation. $$12 ( x + 2 ) = 14 x + 20$$

Accepted Answer

A)  x = 2 
B)  x = 1 
C)  x = 0 
D)  x = 3 
E)  x = 4 
A)  x = 2 
B)  x = 1 
C)  x = 0 
D)  x = 3 
E)  x = 4

Question 13

Solve. $x + 15 = 7$

Accepted Answer

A)  -8 
B)  8 
C)  7 
D)  -22 
E)  22 
A)  -8 
B)  8 
C)  7 
D)  -22 
E)  22

Question 14

Solve. $7 n - 2 = 47$

Accepted Answer

A)  38 
B)  -7 
C)  7 
D)  45 
E)  40 
A)  38 
B)  -7 
C)  7 
D)  45 
E)  40

Question 15

In Mrs. Kay's math class, there are 150 points on the final exam and 520 total points for the course. Just prior to the final exam, several students are thinking about their grade. A student has earned 91, 84, and 88 points on tests and only 5 points on projects and homework. Is it possible for the student to earn a B or better (80%)?

Accepted Answer

A)  no 
B)  yes 
A)  no 
B)  yes

Question 16

State the inverse operation needed to solve the equation. Solve the equation. $2 x = 24$

Accepted Answer

A)  Divide by 2; x = 13 
B)  Divide by 2; x = 12 
C)  Divide by 2; x = 10 
D)  Multiply by 2; x = 12 
E)  Multiply by 2; x = 13 
A)  Divide by 2; x = 13 
B)  Divide by 2; x = 12 
C)  Divide by 2; x = 10 
D)  Multiply by 2; x = 12 
E)  Multiply by 2; x = 13

Question 17

Solve the equation from the table. $$6 - 2 x = 2$$ 
$\begin{array}{ cc}
 \text { x   } &   \text {   y=6-2 x} \
1& 4\
2& 2\
3& 0\
4&-2 \
\end{array}$

Accepted Answer

A)  $x = 7$ 
B)  $x = 5$ 
C)  $x = 2$ 
D)  $x = 3$ 
E)  $x = 4$ 
A)  $x = 7$ 
B)  $x = 5$ 
C)  $x = 2$ 
D)  $x = 3$ 
E)  $x = 4$

Question 18

Solve. $$6 x - 3 = 11 x - 4$$

Accepted Answer

A)  x = $\frac { 1 } { 6 }$ 
B)  x = $\frac { 1 } { 5 }$ 
C)  x = $\frac { 1 } { 4 }$ 
D)  x = 5 
E)  x = 4 
A)  x = $\frac { 1 } { 6 }$ 
B)  x = $\frac { 1 } { 5 }$ 
C)  x = $\frac { 1 } { 4 }$ 
D)  x = 5 
E)  x = 4

Question 19

The sum of three consecutive integers is 243. Write an equation and solve it to find the smallest integer.

Accepted Answer

A)  x + (x + 2) + (x + 4) = 243, x = 79 
B)  x + (x + 1) + (x + 2) = 243, x = 80 
C)  (x - 2) + x + (x + 1) = 243, x = 80 
D)  x + (x + 1) + (x + 2) = 243, x = 81 
E)  (x - 2) + (x - 1) + x = 243, x = 81 
A)  x + (x + 2) + (x + 4) = 243, x = 79 
B)  x + (x + 1) + (x + 2) = 243, x = 80 
C)  (x - 2) + x + (x + 1) = 243, x = 80 
D)  x + (x + 1) + (x + 2) = 243, x = 81 
E)  (x - 2) + (x - 1) + x = 243, x = 81

Question 20

Write an equation so y depends on x. Find the self-employed Social Security payment, y, at 12.4% of net income, x.

Accepted Answer

A)  x = 0.124y 
B)  x = 12.4y 
C)  y = 0.124x 
D)  y = 12.4x 
E)  y = 0.0124x 
A)  x = 0.124y 
B)  x = 12.4y 
C)  y = 0.124x 
D)  y = 12.4x 
E)  y = 0.0124x

Write the equation. Let x be the unknown number. Twelve is 7 less than twice a number.

Solve. $4 ( x - 3 ) + 3 x = 9$

Tell whether or not the equation is linear. $y = 4$

Solve the equation. $4 ( x + 2 ) = - 14$

Complete the table for j, k, m, and n. Then choose the correct answer. x -2 j k m -1 n y=2-4x 10 9 8 7 6 5

Solve. $2 w + 8 = 2$

Solve. $2 - 9 x = 11$

Solve. $- 4 + 3 ( x + 10 ) = 8$

Solve $D = 54 t \text { for } t \text { if } D = 250 \text {. }$

Solve. $4 x + 12 = 0$

Solve. $5 + 4 x = 17$

Use two calculators tables to solve the equation. $12 ( x + 2 ) = 14 x + 20$

Solve. $x + 15 = 7$

Solve. $7 n - 2 = 47$

State the inverse operation needed to solve the equation. Solve the equation. $2 x = 24$

Solve the equation from the table. $6 - 2 x = 2$ x y=6-2 x 1 4 2 2 3 0 4 -2

Solve. $6 x - 3 = 11 x - 4$

The sum of three consecutive integers is 243. Write an equation and solve it to find the smallest integer.

Write an equation so y depends on x. Find the self-employed Social Security payment, y, at 12.4% of net income, x.

Algebraic Representations

Operations With Real Numbers

Ratios, Rates, and Proportional Reasoning

Formulas, Functions, Linear Equations, and Inequalities in Two Variables

Systems of Equations

Polynomial Expressions

Squares and Square Roots

Rational Expressions

Filters

Exam 3: Solving Equations

Write the equation. Let x be the unknown number. Twelve is 7 less than twice a number.

Solve. 4(x−3)+3x=94 ( x - 3 ) + 3 x = 94(x−3)+3x=9

Tell whether or not the equation is linear. y=4y = 4y=4

Solve the equation. 4(x+2)=−144 ( x + 2 ) = - 144(x+2)=−14

Complete the table for j, k, m, and n. Then choose the correct answer. x -2 j k m -1 n y=2-4x 10 9 8 7 6 5

Solve. 2w+8=22 w + 8 = 22w+8=2

Solve. 2−9x=112 - 9 x = 112−9x=11

Solve. −4+3(x+10)=8- 4 + 3 ( x + 10 ) = 8−4+3(x+10)=8

Solve D=54t for t if D=250. D = 54 t \text { for } t \text { if } D = 250 \text {. }D=54t for t if D=250.

Solve. 4x+12=04 x + 12 = 04x+12=0

Solve. 5+4x=175 + 4 x = 175+4x=17

Use two calculators tables to solve the equation. 12(x+2)=14x+2012 ( x + 2 ) = 14 x + 2012(x+2)=14x+20

Solve. x+15=7x + 15 = 7x+15=7

Solve. 7n−2=477 n - 2 = 477n−2=47

State the inverse operation needed to solve the equation. Solve the equation. 2x=242 x = 242x=24

Solve the equation from the table. 6−2x=26 - 2 x = 26−2x=2 x y=6-2 x 1 4 2 2 3 0 4 -2

Solve. 6x−3=11x−46 x - 3 = 11 x - 46x−3=11x−4

The sum of three consecutive integers is 243. Write an equation and solve it to find the smallest integer.

Write an equation so y depends on x. Find the self-employed Social Security payment, y, at 12.4% of net income, x.

Algebraic Representations

Operations With Real Numbers

Ratios, Rates, and Proportional Reasoning

Formulas, Functions, Linear Equations, and Inequalities in Two Variables

Systems of Equations

Polynomial Expressions

Squares and Square Roots

Rational Expressions

Filters

Solve. $4 ( x - 3 ) + 3 x = 9$

Tell whether or not the equation is linear. $y = 4$

Solve the equation. $4 ( x + 2 ) = - 14$

Solve. $2 w + 8 = 2$

Solve. $2 - 9 x = 11$

Solve. $- 4 + 3 ( x + 10 ) = 8$

Solve $D = 54 t \text { for } t \text { if } D = 250 \text {. }$

Solve. $4 x + 12 = 0$

Solve. $5 + 4 x = 17$

Use two calculators tables to solve the equation. $12 ( x + 2 ) = 14 x + 20$

Solve. $x + 15 = 7$

Solve. $7 n - 2 = 47$

State the inverse operation needed to solve the equation. Solve the equation. $2 x = 24$

Solve the equation from the table. $6 - 2 x = 2$ x y=6-2 x 1 4 2 2 3 0 4 -2

Solve. $6 x - 3 = 11 x - 4$