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Splash Screen. Lesson 1-7 Writing Algebraic Equations. (over Lesson 1-5). A B C D. Evaluate the expression | a | + c – b if a = –5, b = 3, and c = –6. A. 6 B. 4 C. –4 D. –8. (over Lesson 1-5). A B C D.

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splash screen
Splash Screen

Lesson 1-7

Writing Algebraic Equations

slide2

(over Lesson 1-5)

  • A
  • B
  • C
  • D

Evaluate the expression | a | + c – bif a = –5, b = 3, and c = –6.

A. 6

B. 4

C.–4

D. –8

slide3

(over Lesson 1-5)

  • A
  • B
  • C
  • D

Evaluate the expressiona – c – b if a = –1, b = 3, and c = –5.

A. -4

B.7

C. 1

D.–1

slide4

(over Lesson 1-5)

  • A
  • B
  • C
  • D

Evaluate the expressiona – c+ b if a = –3, b= –3, and c = –5.

A. -1

B. 4

C.1

D. –8

slide5

(over Lesson 1-5)

  • A
  • B
  • C
  • D

Evaluate the expression | a | – c + b if a = 1, b = 3, and c = –5.

A.–9

B. 4

C. –7

D. 9

slide6

(over Lesson 1-5)

  • A
  • B
  • C
  • D

Evaluate– 5 –(-6) + (-2) - 3

A. 4

B. 3

C.–4

D.8

slide7

(over Lesson 1-6)

Multiply 3(–4).

  • A
  • B
  • C
  • D

A. 12

B. 7

C. –1

D. –12

slide8

(over Lesson 1-6)

  • A
  • B
  • C
  • D

Multiply –6(–2).

A. 12

B. 4

C. –8

D. –12

7

slide9

Divide

(over Lesson 1-6)

  • A
  • B
  • C
  • D

A. 55

B. 6

C. –5

D. –6

8

slide10

Write algebraic equations from verbal sentences and problem situations.

  • equation

A mathematical sentence containing two expressions separated by an equals (=) sign.

Assigning a variable to represent the unknown quantity.

  • define a variable
slide11

Standard 7AF1.1Use variables and appropriate operations to write an expression, an equation, an inequality, or a system of equations or inequalities that represents a verbal description (e.g. three less than a number, half as large as area A).

Standard 7AF1.4Use algebraic terminology(e.g. variable, equation, term, coefficient, inequality, expression, constant) correctly.

slide12

Write an Algebraic Equation

CONSUMER ISSUESThe cost of a book purchased online plus $5 shipping and handling comes to a total of $29. Write an equation to model this situation.

WordsCost of book plus cost of shipping is equal to total cost.

VariableLet b represent the cost of the book.

Equationb + 5 = 29

Answer:b + 5 = 29

slide13

Write an Equation to Solve a Problem

NUTRITIONA box of oatmeal contains 10 individual packages. If the box contains 30 grams of fiber, write an equation to find the amount of fiber in one package of oatmeal.

WordsTen packages of oatmeal contain 30 grams of fiber.

VariableLet f represent the grams of fiber per package.

EquationTen packages contain 30 gramsof oatmeal of fiber.

10f = 30

slide14

Write an Equation to Solve a Problem

BIRTHDAY After receiving $25 for her birthday Latisha had $115. How much did Latisha have before receiving the $25 as a present?

WordsLatisha received $25 & now has $115.

VariableLetxrepresent the amount of money Latisha had before her birthday.

EquationPrior $ plus combined isplus $25 equal to.

x + $25 = $115

slide15

The eighth grade has $35 less in its treasury than the seventh grade has. Given s, the number of dollars in the seventh grade treasury, which equation can be used to find e, the number of dollars in the eighth grade treasury?

A.e = 35 – s

B.e = s – 35

C.e = s ÷ 35

D.e = 35 ●s

slide16

Write the price of a toy plus $6 shipping is $35 as an algebraic equation.

  • A
  • B
  • C
  • D

A.p – 6 = 35

B.p + 6 = 35

C.p + 35 = 6

D.p – 35 = 6

slide17

NUTRITIONA particular box of cookies contains 10 servings. If the box contains 1,200 Calories, write an equation to find the number of Calories in one serving of cookies.

  • A
  • B
  • C
  • D

A. 10c = 1,200

B.c÷ 10 = 1,200

C. 1,200c = 10

D.c÷ 1,200 = 10

slide18

The high temperature on Friday was 6 degrees less than the high temperature on Thursday. Given t, the high temperature on Thursday, which equation can be used to find f, the high temperature on Friday?

  • A
  • B
  • C
  • D

A.f = t – 6

B.f = t ÷ 6

C.f = 6 ●t

D.f = 6 – t

slide20

(over Lesson 1-4)

  • A
  • B
  • C
  • D

If the outside temperature was –6° F, and then dropped by 10°, what would be the temperature?

A. 4° F

B. –4° F

C. –16° F

D. 16° F

slide21

(over Lesson 1-5)

  • A
  • B
  • C
  • D

Subtract |–3| – |–7|.

A. 10

B. 4

C. –4

D. –10

slide22

Divide

(over Lesson 1-6)

  • A
  • B
  • C
  • D

A. –9

B. –8

C. 9

D. 64

slide23

(over Lesson 1-6)

  • A
  • B
  • C
  • D

What is the value of ab – c, if a = –3, b = 4, and c = –2?

A. –14

B. –10

C. 10

D. 12

slide24

(over Lesson 1-7)

  • A
  • B
  • C
  • D

Write the verbal phrase 5 years younger than Mary as an algebraic expression.

A.x + 5

B. 5 – x

C.x – 5

D.x● 5

slide25

(over Lesson 1-7)

  • A
  • B
  • C
  • D

Write the verbal phrase $4.75 tax added to the total as an algebraic expression.

A.b – $4.75

B. $4.75 + b

C. $4.75 – b

D. $4.75 ×b