which is an algebraic equation 5 more than z?

5z

z + 5

5z + 5

5 - z

Which word phrase can be used to represent the algebraic expression 4(21 + n)

4 plus the sum of 21 and a number n

4 times the product of 21 and a number n

4 times the sum of 21 and a number n

4 less than the sum of 21 and a number n

Suppose you are building a brick border for a garden by stacking rows of bricks on top of each other. If the height of each brick is 2.5 inches and r represents the number of rows, which algebraic expression would represent the height of the brick wall?

2.5 + r

2.5r + r

2.5

2.5r

simplify the following expression 5^2 - 4 / 5 + 2

1/7

6/7

26.2

3

find the value of the expression below for r = 4 and t = 2
t^3 - r + 20 ÷ r

9

72

6

40

Answers are:

1) Z+5

2) 4 times the sum of 21 and the number n

3) 2.5r

4) 3

5) 9

The algebraic equation "5 more than z" can be represented by the expression "z + 5". In this expression, we start with the variable "z" and add 5 to it.

Out of the options provided, the correct algebraic equation for "5 more than z" is:

z + 5

For the word phrase "4(21 + n)", we need to multiply 4 with the sum of 21 and a number "n". So the correct word phrase that represents the expression is:

4 times the sum of 21 and a number n

Out of the options provided, the correct word phrase for "4(21 + n)" is:

4 times the sum of 21 and a number n

The algebraic expression representing the height of the brick wall is obtained by multiplying the height of each brick (2.5 inches) by the number of rows (r). Therefore, the correct algebraic expression for the height of the brick wall is:

2.5r

Simplifying the expression "5^2 - 4 / 5 + 2" involves following the order of operations (PEMDAS/BODMAS). First, we square 5 (5^2 = 25). Then, we divide 4 by 5 (4 / 5 = 0.8). Finally, we add the results together:

25 - 0.8 + 2 = 26.2

So, the simplified value of the expression "5^2 - 4 / 5 + 2" is:

26.2

To find the value of the expression "t^3 - r + 20 ÷ r" when r = 4 and t = 2, we substitute the given values for the variables and perform the calculations:

(2^3) - 4 + (20 ÷ 4) = 8 - 4 + 5 = 9

So, the value of the expression "t^3 - r + 20 ÷ r" when r = 4 and t = 2 is:

9

The algebraic equation that represents "5 more than z" is z + 5.

The word phrase that represents the algebraic expression "4(21 + n)" is 4 times the sum of 21 and a number n.

The algebraic expression that represents the height of the brick wall is 2.5r, where r represents the number of rows.

To simplify the expression 5^2 - 4 / 5 + 2:

5^2 is equal to 25.
So the expression becomes 25 - 4 / 5 + 2.

Next, calculate 25 - 4, which is equal to 21.
Then divide 21 by 5, which gives you 4.2.

Finally, add 4.2 and 2, which equals 6.2.

Therefore, the simplified expression is 6.2.

To find the value of the expression t^3 - r + 20 ÷ r for r = 4 and t = 2:

Substitute r = 4 and t = 2 into the expression:

2^3 - 4 + 20 ÷ 4

Evaluate the exponent first: 2^3 = 8.

Then, divide 20 by 4, which equals 5.

Finally, substitute the values into the expression: 8 - 4 + 5 = 9.

The value of the expression for r = 4 and t = 2 is 9.