Exam 8: Formulas, Proportion, and Variation

$R _ { i } = \frac { R _ { 1 } + R _ { 2 } } { R _ { 1 } + R _ { 2 } }$ The formula for the total resistance of a circuit is $R _ { t } = \frac { R _ { 1 } R _ { ? } } { R _ { 1 } + R _ { 2 } }$ . If $R _ { t } = 8 \mathrm {~K}$ , and $R _ { 2 } = 10 \mathrm {~K}$ , solve the equation for $R _ { 1 }$ .

(Short Answer)

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Question 21

$\text { If } Z = \sqrt { R ^ { 2 } + X ^ { 2 } } \text {, where } R = 1,500 \text { and } X = 2,200 \text {, then } Z =$

(Multiple Choice)

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Question 22

Solve for i in A = P(1 +ni).

(Multiple Choice)

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Question 23

The interest formula is I = PRT. You took out a loan with Commerce City bank for $40,000 at 8.25% interest and held the loan for 6 months. What interest should you be charged?

(Short Answer)

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Question 24

Given $V _ { 1 } = \frac { } { R _ { 1 } + R _ { 2 } }$ what is R2 if V1 =5V, Vt= 12V, and R1 = 10 kW?

(Multiple Choice)

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Question 25

The formula for simple interest is I = PRT, where I is the amount of interest, P is the principal amount borrowed, R is the percent of interest charges, and T is the length of time of the loan. If the interest is $414, the principal is $3,680, and the time is one and one-fourth years, write an equation and solve to find the percent of interest charged.

(Short Answer)

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Question 26

solve for n in $K = \frac { m + n } { p }$

(Multiple Choice)

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Question 27

Solve the given problem, using the formula $I = P R T :$ Find the simple interest paid on a Ioan of $\$ 1,200$ at $8 \frac { 1 } { 4 } \%$ interest for 5 years.

(Multiple Choice)

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Question 28

Samantha borrowed money to buy lawn equipment to start her new lawn service business. She borrowed $800 for 9 months and paid $70.50 in interest. What was the rate of interest?

(Multiple Choice)

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Question 29

Use the formula $R _ { t } = \frac { R _ { 1 } R _ { 2 } } { R _ { 1 } + R _ { 2 } }$ to find the total resistance $\left( R _ { t } \right)$ if one resistance $\left( R _ { 1 } \right)$ is 15 ohms and the second resistance $\left( R _ { 2 } \right)$ is 10 ohms.

(Multiple Choice)

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Question 30

Find the missing value: P = 2l + 2w. Find P if w = 6 and l = 4.

(Short Answer)

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Question 31

Find the missing value: C = S + M. Find M if C = 70 and S = 45.

(Short Answer)

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Question 32

The formula for volume of a solid rectangular figure is V = lwh (length × width × height). If the volume of a mailing container must be 360 in.3, its length 12 in. and width 6 in., what must its height be?

(Short Answer)

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Question 33

Find the missing value: I = PRT. Find I if P = $400, R = 0.08, and T = 2.

(Short Answer)

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Question 34

The formula for finding simple interest is I = PRT, where I is the amount of interest charged, P is the principal amount borrowed, R is the percent of interest charged, and T is the length of time of the loan. If the amount of interest is $36.25, the principal is $250, and the time is 2 years, what interest rate was charged?

(Short Answer)

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Question 35

Find the missing value: y = mx + b. Find y if m = 4, x = 5, and b = 10.

(Short Answer)

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Question 36

Solve the given problem, using a decimal equation and the formula I = PRT: How much money could you borrow at 6.5% for 4 years if you were to pay $1,955.20 in interest?

(Multiple Choice)

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Question 37

The formula for the total resistance of a circuit is $R _ { t } = \frac { R _ { 1 } , R _ { ? } } { R _ { 1 } + R _ { 2 } }$ , If $R _ { t } = 12 \mathrm {~K}$ , and $R _ { 1 } = 14$ $K$ , solve the equation for $R _ { 2 }$ .

(Short Answer)

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Question 38

$\text { If } R _ { t } = \frac { R _ { 1 } R _ { 2 } } { R _ { 1 } + R _ { 2 } } , \text { where } R _ { 1 } = 3,300 \text { and } R _ { 2 } = 4,700 , \text { then } R _ { t } =$

(Multiple Choice)

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Question 39

The formula for simple interest is I = PRT, where I is the amount of interest, P is the principal amount borrowed, R is the percent of interest charges, and T is the length of time of the loan. If the interest is $306, the principal is $2,550, and the rate is 8%, write an equation and solve to find the length of time of the loan.

(Short Answer)

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Question 40

$\text { If } Z = \sqrt { R ^ { 2 } + X ^ { 2 } } \text {, where } R = 1,500 \text { and } X = 2,200 \text {, then } Z =$

Solve for i in A = P(1 +ni).

The interest formula is I = PRT. You took out a loan with Commerce City bank for $40,000 at 8.25% interest and held the loan for 6 months. What interest should you be charged?

Given $V _ { 1 } = \frac { } { R _ { 1 } + R _ { 2 } }$ what is R2 if V1 =5V, Vt= 12V, and R1 = 10 kW?

solve for n in $K = \frac { m + n } { p }$

Solve the given problem, using the formula $I = P R T :$ Find the simple interest paid on a Ioan of $\$ 1,200$ at $8 \frac { 1 } { 4 } \%$ interest for 5 years.

Samantha borrowed money to buy lawn equipment to start her new lawn service business. She borrowed $800 for 9 months and paid $70.50 in interest. What was the rate of interest?

Use the formula $R _ { t } = \frac { R _ { 1 } R _ { 2 } } { R _ { 1 } + R _ { 2 } }$ to find the total resistance $\left( R _ { t } \right)$ if one resistance $\left( R _ { 1 } \right)$ is 15 ohms and the second resistance $\left( R _ { 2 } \right)$ is 10 ohms.

Find the missing value: P = 2l + 2w. Find P if w = 6 and l = 4.

Find the missing value: C = S + M. Find M if C = 70 and S = 45.

The formula for volume of a solid rectangular figure is V = lwh (length × width × height). If the volume of a mailing container must be 360 in.3, its length 12 in. and width 6 in., what must its height be?

Find the missing value: I = PRT. Find I if P = $400, R = 0.08, and T = 2.

Find the missing value: y = mx + b. Find y if m = 4, x = 5, and b = 10.

Solve the given problem, using a decimal equation and the formula I = PRT: How much money could you borrow at 6.5% for 4 years if you were to pay $1,955.20 in interest?

The formula for the total resistance of a circuit is $R _ { t } = \frac { R _ { 1 } , R _ { ? } } { R _ { 1 } + R _ { 2 } }$ , If $R _ { t } = 12 \mathrm {~K}$ , and $R _ { 1 } = 14$ $K$ , solve the equation for $R _ { 2 }$ .

$\text { If } R _ { t } = \frac { R _ { 1 } R _ { 2 } } { R _ { 1 } + R _ { 2 } } , \text { where } R _ { 1 } = 3,300 \text { and } R _ { 2 } = 4,700 , \text { then } R _ { t } =$

Review of Basic Concepts

Review of Fractions

Percents

Measurement

Signed Numbers and Powers of 10

Statistics

Linear Equations and Inequalities

Linear Equations, Functions, and Inequalities in Two Variables

Systems of Linear Equations

Powers and Polynomials

Roots and Radicals

Factoring

Rational Expressions, Equations, and Inequalities

Quadratic and Other Nonlinear Equations and Inequalities

Exponential and Logarithmic Equations

Geometry

Triangles

Right-Triangle Trigonometry

Trigonometry With Any Angle

Filters

Exam 8: Formulas, Proportion, and Variation

If Z=R2+X2, where R=1,500 and X=2,200, then Z=\text { If } Z = \sqrt { R ^ { 2 } + X ^ { 2 } } \text {, where } R = 1,500 \text { and } X = 2,200 \text {, then } Z = If Z=R2+X2​, where R=1,500 and X=2,200, then Z=

Solve for i in A = P(1 +ni).

The interest formula is I = PRT. You took out a loan with Commerce City bank for $40,000 at 8.25% interest and held the loan for 6 months. What interest should you be charged?

Given V1=R1+R2V _ { 1 } = \frac { } { R _ { 1 } + R _ { 2 } }V1​=R1​+R2​​ what is R2 if V1 =5V, Vt= 12V, and R1 = 10 kW?

solve for n in K=m+npK = \frac { m + n } { p }K=pm+n​

Solve the given problem, using the formula I=PRT:I = P R T :I=PRT: Find the simple interest paid on a Ioan of $1,200\$ 1,200$1,200 at 814%8 \frac { 1 } { 4 } \%841​% interest for 5 years.

Samantha borrowed money to buy lawn equipment to start her new lawn service business. She borrowed $800 for 9 months and paid $70.50 in interest. What was the rate of interest?

Find the missing value: P = 2l + 2w. Find P if w = 6 and l = 4.

Find the missing value: C = S + M. Find M if C = 70 and S = 45.

The formula for volume of a solid rectangular figure is V = lwh (length × width × height). If the volume of a mailing container must be 360 in.3, its length 12 in. and width 6 in., what must its height be?

Find the missing value: I = PRT. Find I if P = $400, R = 0.08, and T = 2.

Find the missing value: y = mx + b. Find y if m = 4, x = 5, and b = 10.

Solve the given problem, using a decimal equation and the formula I = PRT: How much money could you borrow at 6.5% for 4 years if you were to pay $1,955.20 in interest?

The formula for the total resistance of a circuit is Rt=R1,R?R1+R2R _ { t } = \frac { R _ { 1 } , R _ { ? } } { R _ { 1 } + R _ { 2 } }Rt​=R1​+R2​R1​,R?​​ , If Rt=12 KR _ { t } = 12 \mathrm {~K}Rt​=12 K , and R1=14R _ { 1 } = 14R1​=14 KKK , solve the equation for R2R _ { 2 }R2​ .

Review of Basic Concepts

Review of Fractions

Percents

Measurement

Signed Numbers and Powers of 10

Statistics

Linear Equations and Inequalities

Linear Equations, Functions, and Inequalities in Two Variables

Systems of Linear Equations

Powers and Polynomials

Roots and Radicals

Factoring

Rational Expressions, Equations, and Inequalities

Quadratic and Other Nonlinear Equations and Inequalities

Exponential and Logarithmic Equations

Geometry

Triangles

Right-Triangle Trigonometry

Trigonometry With Any Angle

Filters

$\text { If } Z = \sqrt { R ^ { 2 } + X ^ { 2 } } \text {, where } R = 1,500 \text { and } X = 2,200 \text {, then } Z =$

Given $V _ { 1 } = \frac { } { R _ { 1 } + R _ { 2 } }$ what is R2 if V1 =5V, Vt= 12V, and R1 = 10 kW?

solve for n in $K = \frac { m + n } { p }$

Solve the given problem, using the formula $I = P R T :$ Find the simple interest paid on a Ioan of $\$ 1,200$ at $8 \frac { 1 } { 4 } \%$ interest for 5 years.

The formula for the total resistance of a circuit is $R _ { t } = \frac { R _ { 1 } , R _ { ? } } { R _ { 1 } + R _ { 2 } }$ , If $R _ { t } = 12 \mathrm {~K}$ , and $R _ { 1 } = 14$ $K$ , solve the equation for $R _ { 2 }$ .