Big Ideas Math Algebra 1 Student Journal 1st Edition Chapter 1 Solving Linear Equations Exercise 1

Question. Evaluate the value -1+(-3). Find the Addition or Subtraction.

Given: The value −1+(−3)

To Find Addition or subtraction.

Evaluate to get the required result.

Since both numbers have the same sign, we can simply add the numbers and keep the negative sign.

−1+(−3)

−4

We get the value −4 by adding both numbers.

Big Ideas Math Algebra 1 Student Journal 1st Edition Chapter 1 Solving Linear Equations Exercise 1

Question. Evaluate the value 5-(-2). Find the Addition or subtraction.

Given: The value 5−(−2​)

To Find Addition or subtraction.

Evaluate to get the required result.

Read and Learn More Big Ideas Math Algebra 1 Student Journal 1st Edition Solutions

When subtracting numbers, you can do the method add the opposite or the keep-change-change method.

Keep the sign of the first number,

5−(−2)

Change the sign of the expression,

5+(−2)

Change the sign of the second number,

5+2

=7

The answer is 7.

Question. Evaluate the value -4-7. Find the Addition or Subtraction.

Given: The value −4−7

To Find Addition or subtraction.

Evaluate to get the required result.

When subtracting numbers, you can do the method add the opposite or the keep-change-change method.

Keep the sign of the first number,

−4−7

Change the sign of the expression,

−4+7

Change the sign of the second number and add them,

−4+(−7)

We get

-11

The answer is −11.

Question. The sum of two integers is -6 find two pairs of integers whose sum is -6.

Given: The sum of two integers is −6

To Find Two pairs of integers whose sum is −6

By using the basic math operations, two such pairs can be concluded.

The first pair is −3,−3 whose sum is −6 and it is verified below:

−3+(−3)=−6

−6=−6

The second pair is −4,−2 whose sum is −6 and it is verified below:

−4+(−2)=−6

−6=−6

The two pairs of integers whose sum is −6 are −3,−3, and −4,−2.

Question. In a city, the record monthly high temperature for March is 56°F and record monthly for low temperature is -4°F. Find the range of temperatures for the month of March. Subtract the highest and lowest temperatures to get the range.

Given: In a city, the record monthly high temperature for March is 56°F and record monthly for low temperature is −4°F.

To Find The range of temperatures for the month of March.

Subtract the highest and lowest temperatures to get the range.

The range of the temperatures for the month of March is calculated below:

56−(−4)=56+4

⇒ 56+4=60

The range of temperature for the month of the March is 60°F.

Question. Find the evaluated result of the -8.(-5) expression. Multiply the provided integers and evaluate the result.

Given: An expression, −8. (−5)

To Find The evaluated result of the above expression.

Multiply the provided integers and evaluate the result.

The integers are to be simply multiplied to get their product.

⇒ −8. (−5)=40

The evaluated result of the expression −8. (−5) is 40.

Question. Find the evaluated result of the -14÷2 expression. Divide the integers to obtain the required result.

Given: An expression, −14÷2

To Find The evaluated result of the above expression.

Divide the integers to obtain the required result.

Division simply means breaking a number into parts. In this case, we have to divide 14 in 2 parts.

−14÷2=−14/2

=−7

The evaluated result of the expression −14÷2 is −7.

Question. Find the evaluated result of the -30÷(-3) expression. Divide the integers to obtain the required result.

Given: An expression, −30÷(−3)

To Find The evaluated result of the above expression.

Divide the integers to obtain the required result.

Division simply means breaking a number into parts. In this case, we have to divide −30 in −3 equal parts.

⇒ −30÷(−3)=−30/−3

⇒ −30÷(−3)=10

The evaluated result of the expression −30÷(−3) is 10.

Question. Find the two pairs using basic math operations. Two pairs of integers whose product evaluates to -20.

Given: A product of two integers is −20

To Find Two pairs of integers whose product evaluates to −20

Find the two pairs using basic math operations.

The first pair is −5,4 whose product is −20 and it is verified below:

−5×4=−20

−20=−20

The second pair is −2,10 whose product is −20 and it is verified below:

−2×10=−20

−20=−20

The two pairs whose product evaluates to −20 are −4,5 and −2,10.

Question. A football team loses 3 yards in 3 consecutive plays. Find total yardage gained.

Given: A football team loses 3 yards in 3 consecutive plays.

To Find Total yardage gained.

Evaluate the result by multiplying the losses to plays.

Multiply the number of yards gained (which will become a negative number signifying loss) by the number of plays to get the total yardage gained.

−3×3=−9

The total yardage gained is −9.

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