Solving Algebraic Expressions with Fractional Values: A Step-by-Step Guide, Schemes and Mind Maps of Algebra

A series of algebraic expressions with fractional values, along with the steps to evaluate them using given values for variables. Students can practice their algebra skills by working through these examples.

Typology: Schemes and Mind Maps

2021/2022

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Elementary Algebra Skill
Evaluating Algebraic Expressions Using Fractional Values
Evaluate each using the values given.
1)
p
− 6
m
; use
m
=
4
5, and
p
=
1
62)
y
(
x
y
)
; use
x
= −1, and
y
= 2
2
5
3)
x
y
x
; use
x
=
1
2, and
y
= −3
1
54)
z
− 1 +
x
; use
x
=
1
6, and
z
= 3
5
6
5)
−4 −
(
y
2
z
)
; use
y
= −2, and
z
= 5 6)
4
y
y
z
; use
y
=
3
5, and
z
=
4
3
7)
4
y
(
y
+
x
)
; use
x
=
3
2, and
y
=
5
48)
p
÷
(
4 +
p
+
m
)
; use
m
=
1
5, and
p
=
3
2
9)
q
+
−3 −
p
+ 2
q
+
p
; use
p
=
8
5, and
q
=
3
210)
y
2
(
y
+
x
2
+ 3
)
; use
x
=
3
2, and
y
=
6
5
11)
x
2
z
; use
x
=
4
3, and
z
= −2
2
312)
y
2
z
2
; use
y
=
1
4, and
z
=
4
5
13)
y
2
x
; use
x
= 2
1
3, and
y
= 2 14)
−4
z
(
z
+
y
)
; use
y
= 1
1
6, and
z
= 2
15)
−20
z
(
x
+
z
)
; use
x
= −1
1
4, and
z
=
5
616)
x
zx
(
z
y
)
; use
x
= 2,
y
=
7
6, and
z
= 3
1
3
17)
−5
z
+
y
z
y
; use
y
= −1, and
z
= −1
1
318)
2
y
z
+
(
−2
)
3
; use
y
= −6, and
z
= −2
3
4
19)
4
y
(
x
2
z
2
)
; use
x
= 1,
y
= 3, and
z
= 2 20)
pr
(
r
p
)
4 − 3; use
p
= 2, and
r
= 4
pf2

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Elementary Algebra Skill

Evaluating Algebraic Expressions Using Fractional Values

Evaluate each using the values given.

  1. p − 6 m ; use m = 4 5 , and p = 1 6

2) y ( x − y ); use x = −1, and y = 2 2

  1. xy x ; use x =

, and y = −3 1 5

  1. z − 1 + x ; use x =

, and z = 3 5 6

5) −4 − ( y^2 − z ); use y = −2, and z = 5 6) 4 y − y

z

; use y = 3 5

, and z = 4 3

7) 4 y ( y + x ); use x = 3

, and y = −^5 4

8) p ÷ (4 + p + m ); use m = −^1

, and p = 3 2

  1. q + −3 −^ p^ + 2 q + p

; use p = −^8 5

, and q = −^3 2

10) y^2 − ( y + x^2 + 3); use x = 3

, and y = −^6 5

  1. x^2 z ; use x = −^4 3 , and z = −2 2 3
  2. y^2 − z^2 ; use y = 1 4 , and z = 4 5

y^2 x ; use x = 2 1 3

, and y = 2 14)^ −4 z ( z^ +^ y ); use^ y^ = 1^

, and z = 2

15) −20 z ( x + z ); use x = −1 1

, and z = −

16) x − zx ( z − y ); use x = 2, y =

, and z = 3 1 3

z

  • yz y

; use y = −1, and z = −1 1 3

18) 2 y − z + (−2)^3 ; use y = −6, and z = −2 3

19) 4 y − ( x^2 − z

; use x = 1, y = 3, and z = 2 20) pr

( r − p )

− 3; use p = 2, and r = 4

Answers to Evaluating Algebraic Expressions Using Fractional Values

9) −^105

10) −^261

12) −^231

14) −^76

15) −^625

16) −^112

18) −^69