M
Math Coach Amy
Amy Ferguson Moncure

SAT

Solve Equation

Find the value the question asks for.

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Key Ideas Together Independent Practice
What to Remember

Desmos

6square root of 2a + 8 ~ 80

a = 72

2a = 144

Algebra

6square root of 2x + 8 = 80

6square root of 2x = 72

square root of 2x = 12

2x = 144

Desmos or algebra

What is the value of 2x?

6square root of 2x + 8 = 80

Desmos

Use a for x.

6square root of 2a + 8 ~ 80

Look for a under Regression Parameters.

Desmos window for the regression. Regression Parameters shows a = 72.

a = 72

a is x. Multiply a by the number next to x inside the square root.

2a = 144

Algebra

6square root of 2x + 8 = 80

6square root of 2x = 72

square root of 2x = 12

2x = 144

Answer: 144

Together

Together

Work these three in a session.

1

5square root of 2x + 1 = 51

What is the value of 2x?

Show Answer

Desmos

5square root of 2a + 1 ~ 51

Desmos window for the regression. Regression Parameters shows a = 50.

a = 50

2a = 100

Algebra

5square root of 2x + 1 = 51

5square root of 2x = 50

square root of 2x = 10

2x = 100

Answer: 100

2

3square root of 4x − 5 = 19

What is the value of 4x?

Show Answer

Desmos

3square root of 4a − 5 ~ 19

Desmos window for the regression. Regression Parameters shows a = 16.

a = 16

4a = 64

Algebra

3square root of 4x − 5 = 19

3square root of 4x = 24

square root of 4x = 8

4x = 64

Answer: 64

3

2square root of 3x + 6 = 24

What is the value of 3x?

Show Answer

Desmos

2square root of 3a + 6 ~ 24

Desmos window for the regression. Regression Parameters shows a = 27.

a = 27

3a = 81

Algebra

2square root of 3x + 6 = 24

2square root of 3x = 18

square root of 3x = 9

3x = 81

Answer: 81

Independent

Independent Practice

Try these five on your own.

1

4square root of 2x + 9 = 33

What is the value of 2x?

Show Answer

Desmos

4square root of 2a + 9 ~ 33

Desmos window for the regression. Regression Parameters shows a = 18.

a = 18

2a = 36

Algebra

4square root of 2x + 9 = 33

4square root of 2x = 24

square root of 2x = 6

2x = 36

Answer: 36

2

3square root of 5x − 2 = 13

What is the value of 5x?

Show Answer

Desmos

3square root of 5a − 2 ~ 13

Desmos window for the regression. Regression Parameters shows a = 5.

a = 5

5a = 25

Algebra

3square root of 5x − 2 = 13

3square root of 5x = 15

square root of 5x = 5

5x = 25

Answer: 25

3

4square root of 7x + 2 = 30

What is the value of 7x?

Show Answer

Desmos

4square root of 7a + 2 ~ 30

Desmos window for the regression. Regression Parameters shows a = 7.

a = 7

7a = 49

Algebra

4square root of 7x + 2 = 30

4square root of 7x = 28

square root of 7x = 7

7x = 49

Answer: 49

4

2square root of 5x + 8 = 38

What is the value of 5x?

Show Answer

Desmos

2square root of 5a + 8 ~ 38

Desmos window for the regression. Regression Parameters shows a = 45.

a = 45

5a = 225

Algebra

2square root of 5x + 8 = 38

2square root of 5x = 30

square root of 5x = 15

5x = 225

Answer: 225

5

2square root of 11x + 3 = 25

What is the value of 11x?

Show Answer

Desmos

2square root of 11a + 3 ~ 25

Desmos window for the regression. Regression Parameters shows a = 11.

a = 11

11a = 121

Algebra

2square root of 11x + 3 = 25

2square root of 11x = 22

square root of 11x = 11

11x = 121

Answer: 121

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